Sine Sine Cosine Cosine, I got it!

Geometry Level 2

If $x$ and $y$ are acute angles such that

$\frac {\sin x}{\sin y } = \frac {1}{2}, \quad \frac {\cos x}{\cos y } = \frac 3 2 ,$

what is $\tan^2 (x+y)?$

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