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Proportions

If 5, x and 2...

Question

If 5, x and 25, 35 are in proportion, find the value of x.

A

7

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B

8

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C

10

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D

12

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Solution

The correct option is A 7
Given that 5 : x :: 25 : 35 are in proportion.
So,
$\frac{5}{x} = \frac{25}{35}$
Reducing $\frac{25}{35}$ to its simplest form, we have
$\frac{25 \div 5}{35 \div 5} = \frac{5}{7}$
Hence, $\frac{5}{x} = \frac{5}{7}$
$x = 7$

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