Determine if $6, 10, 18, 35$ are in proportion.

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Solution

If $6, 10, 18, 35$ are in proportion, then
Product of extremes $=$ Product of means
$\begin{array}{rcl} 6 \times 35 & = & 10 \times 18 \\ 210 & = & 180 \\ ∵ LHS & \neq & RHS \end{array}$
Hence, $30, 45, 16, 24$ are not in proportion

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