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If $x, 18, 108$ are in continued proportion, then from the following choices, the value of $x$ is:

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answer is B.

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Detailed Solution

Given that, the numbers

x, 18, 108

are in continued proportion.
We have to find the value of

x

.
Product of Extremes,

= x × 108 = 108 x

Product of Means,

= 18 × 18 = 324

The numbers are in proportion, so,
Product of extremes

=

Product of Means.

108 x = 324 x = 3

The value of x is 3.
Hence option 2) is correct.

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