What will the value of x in 26:x::x:35

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Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{We} \mathrm{have} \\ 26:\mathrm{x}::\mathrm{x}:35 \\ \mathrm{We} \mathrm{know} \mathrm{that} \\ \mathrm{Product} \mathrm{of} \mathrm{Means}=\mathrm{Product} \mathrm{of} \mathrm{Extremes} \\ \mathrm{x}\times \mathrm{x}=26\times 35 \\ \Rightarrow {\mathrm{x}}^2=910 \\ \Rightarrow \mathrm{x}=\sqrt{910} \end{gathered}$$

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