Finding the Third Proportional to 37,471 and 56,454
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Solution
The third proportional to 37,471 and 56,454 is: 85,053.88
Step by Step Solution
- Step 1: Write the proportion equation
37,471 : 56,454 = 56,454 : x - Step 2: Convert to fraction form
37,471/56,454 = 56,454/x - Step 3: Cross multiply
37,471x = 56,454 × 56,454 - Step 4: Simplify right side
37,471x = 3,187,054,116 - Step 5: Solve for x
x = 3,187,054,116/37,471 - Step 6: Final answer
x = 85,053.88
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.