a, b, c are in continued proportion. If a = 3 and c = 27 then find b.

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Solution

It is given that 3, b, 27 are in continued proportion.

$∴ \frac{3}{b} = \frac{b}{27} \Rightarrow b^{2} = 3 \times 27 \Rightarrow b^{2} = 81 \Rightarrow b = \sqrt{81} = 9$
Thus, the value of b is 9.

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