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Let P be a point in the first octant,...

Let `P` be a point in the first octant, whose image `Q` in the plane `x+y=3` (that is, the line segment `P Q` is perpendicular to the plane `x+y=3` and the mid-point of `P Q` lies in the plane `x+y=3)` lies on the z-axis. Let the distance of `P` from the x-axis be 5. If `R` is the image of `P` in the xy-plane, then the length of `P R` is _______.

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