Find the mean proportion of 8 and 18

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Solution

The correct option is C
12

Let the mean proportion be $b$

Hence we have 8 : $b$ :: $b$ : 18

$∴$ $\frac{8}{b}$ = $\frac{b}{18}$

$b^{2} = 8 \times 18 = 144$

$b$ = 12

Hence the mean proportion is 12

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