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Find the Third Proportion to the Following : - ICSE Class 10 - Mathematics

Question

Find the third proportion to the following :

(x - y) and m (x - y)

Solution

Let z be lhe third proportion

(x - y) : m (x - y) : : m (x - y) : z

⇒ (x -y) x z - m(x - y) x m (x - y)

⇒  (x - y) z = m2 (x - y)2

⇒  z = m2 (x - y)

The third proportion is m2 (x - y) .

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APPEARS IN

Frank Solution for Frank Class 10 Mathematics Part 2 (2016 to Current)
Chapter 9: Ratio and Proportion
Exercise 9.2 | Q: 3.3

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Solution Find the Third Proportion to the Following : Concept: Proportions.
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