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Finding the Third Proportional to 41,572 and 54,217

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Solution

The third proportional to 41,572 and 54,217 is: 70,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,572 : 54,217 = 54,217 : x
  2. Step 2: Convert to fraction form
    41,572/54,217 = 54,217/x
  3. Step 3: Cross multiply
    41,572x = 54,217 × 54,217
  4. Step 4: Simplify right side
    41,572x = 2,939,483,089
  5. Step 5: Solve for x
    x = 2,939,483,089/41,572
  6. Step 6: Final answer
    x = 70,708.24

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.