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" In any proportion, the product of the means is equal to the product of the extremes. "
Decimal Arithmetic Made Perfect: Or, The Management of Infinite Decimals ... - Page 20
by John Marsh (writing-master.) - 1742 - 197 pages
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New Practical Arithmetic: In which the Science and Its Applications are ...

Henry B. Maglathlin - 1894 - 370 pages
...between the other two. Thus, In 12 : 6 :: 6 : 3, 6 is a mean proportional. 328. 1. In every proportion the product of the means is equal to the product of the extremes. For, in the proportion 6 : 3 : : 4 : 2, since the ratios are equal (Art. 326), we have f...
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For sixth, seventh, and eighth grades

George Edward Atwood - Arithmetic - 1894 - 396 pages
...number that may be made the two means of the proportion. 345. PRINCIPLES. — 1. In any proportion the product of the means is equal to the product of the extremes. 2. Either mean is eijunl to the product of the extremes divided by the other mean. S. Either...
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Geometry - Plane, Solid and Analytic Problem Solver

Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...angles. 10. AA = AA 11. Corresponding sides of similar triangles are in proportion. 12. In a proportion, the product of the means is equal to the product of the extremes. • PROBLEM 531 Using Ptolemy's Theorem show that if a anS b, with a ^ b, are chords of two...
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A Brief Course in Arithmetic

Ann Faber, Gale Edgerton, Paul Karanevich - Mathematics - 1985 - 254 pages
...proportion amounts to multiplying the "means" (inner numbers) and the "extremes" (outer numbers). If the product of the means is equal to the product of the extremes, the ratios are equal. 2X2 = 4 1:2 2:4 1 X4 = 4 4 = 4, so that 1 :2 = 2:4 is a proportion....
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Geometry I Essentials

The Editors of REA - Mathematics - 2013 - 112 pages
...the means of the proportion. The single term d is called the fourth proportional. In a proportion, the product of the means is equal to the product of the extremes. Theorem 2 A proportion may be written by inversion. (If alb = eld, then bla = die.) Theorem...
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Basic Math Concepts: For Water and Wastewater Plant Operators

Joanne K. Price - Technology & Engineering - 1991 - 380 pages
...proportion. The inside terms (2nd and 3rd) are called the means of a proportion. For all proportions, the product of the means is equal to the product of the extremes. In other words, when the two inside terms are multiplied, the answer will be the same as...
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Schaum's Outline of Basic Mathematics with Applications to Science and ...

Haym Kruglak, John Moore, Ramon Mata-Toledo - Mathematics - 1998 - 508 pages
...proportion. The above proportion can be written in fractional form as a/b = c/d. Rule. In any proportion, the product of the means is equal to the product of the extremes. Ratio For instance, 3:4 = 6:8 is a proportion and the product of the means is (4)(6) or 24...
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Merriam-Webster's Guide to Everyday Math: A Home and Business Reference

Brian Burrell - Mathematics - 1998 - 386 pages
...The resulting proportion is .*-.-! 18 ~ 3 This can be solved by cross-multiplication. (Recall that the product of the means is equal to the product of the extremes.) Thus 3x = 18 - 4 = 72, and therefore x = 7% = 24. doubled, the volume of the cube increases...
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Apollo's Lyre: Greek Music and Music Theory in Antiquity and the Middle Ages

Thomas J. Mathiesen - Music - 1999 - 832 pages
...proportion" (Kupionepoi; dvaXoyia), in which two middle terms form various ratios with the extremes and the product of the means is equal to the product of the extremes. This proportion is represented by 12:9:8:6, which embraces geometric proportion (12:8::9:6),...
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Strategies For Success On The Sat 2005: Mathematics Section

Lisa Muehle - Study Aids - 2004 - 239 pages
...relationship between w and x is proportional to the relationship between y and z. In any proportion, the product of the means is equal to the product of the extremes. In the proportion above, x • y = w • z. SAT PRACTICE: RATIO & PROPORTION (SIMPLE RATIOS)...
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