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Weekly Problem 15 - 2006

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

The ratio width : height of television screens is changing from the traditional $4:3$ to the widescreen $16:9$.

If a traditional screen and a widescreen have the same area,
then what is the ratio widescreen width : traditional width ?
 
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.  

This problem is taken from the UKMT Mathematical Challenges.

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