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Proportions

If 9, x, x 49...

Question

If 9, x, x 49 are in proportion, find the value of x.

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Solution

Given: 9:x::x:49
We know:
Product of means = Product of extremes
x × x = 9 × 49
⇒ x² = 441
⇒ x² = (21)²
⇒ x = 21

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