Finding the Third Proportional to 20,592 and 31,912
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Solution
The third proportional to 20,592 and 31,912 is: 49,454.92
Step by Step Solution
- Step 1: Write the proportion equation
20,592 : 31,912 = 31,912 : x - Step 2: Convert to fraction form
20,592/31,912 = 31,912/x - Step 3: Cross multiply
20,592x = 31,912 × 31,912 - Step 4: Simplify right side
20,592x = 1,018,375,744 - Step 5: Solve for x
x = 1,018,375,744/20,592 - Step 6: Final answer
x = 49,454.92
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.