Finding the Third Proportional to 31,880 and 73,940
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Solution
The third proportional to 31,880 and 73,940 is: 171,490.70
Step by Step Solution
- Step 1: Write the proportion equation
31,880 : 73,940 = 73,940 : x - Step 2: Convert to fraction form
31,880/73,940 = 73,940/x - Step 3: Cross multiply
31,880x = 73,940 × 73,940 - Step 4: Simplify right side
31,880x = 5,467,123,600 - Step 5: Solve for x
x = 5,467,123,600/31,880 - Step 6: Final answer
x = 171,490.70
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.