Finding the Third Proportional to 31,620 and 50,934
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Solution
The third proportional to 31,620 and 50,934 is: 82,045.30
Step by Step Solution
- Step 1: Write the proportion equation
31,620 : 50,934 = 50,934 : x - Step 2: Convert to fraction form
31,620/50,934 = 50,934/x - Step 3: Cross multiply
31,620x = 50,934 × 50,934 - Step 4: Simplify right side
31,620x = 2,594,272,356 - Step 5: Solve for x
x = 2,594,272,356/31,620 - Step 6: Final answer
x = 82,045.30
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.