Finding the Third Proportional to 20,572 and 31,302
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Solution
The third proportional to 20,572 and 31,302 is: 47,628.58
Step by Step Solution
- Step 1: Write the proportion equation
20,572 : 31,302 = 31,302 : x - Step 2: Convert to fraction form
20,572/31,302 = 31,302/x - Step 3: Cross multiply
20,572x = 31,302 × 31,302 - Step 4: Simplify right side
20,572x = 979,815,204 - Step 5: Solve for x
x = 979,815,204/20,572 - Step 6: Final answer
x = 47,628.58
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.