Medians and Sides changed their roles

Geometry Level 5

Let \(T_1\) be a scalene triangle whose area is \(23\).
Let \(T_2\) be another triangle whose side lengths are equal to the medians of triangle \(T_1\).
Similarly, let \(T_3\) be yet another triangle with side lengths equal to the medians of triangle \(T_2\).

Find the area of triangle \(T_3\).

Give your answer to 3 decimal places.

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