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Finding the Third Proportional to 24,717 and 54,355

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Solution

The third proportional to 24,717 and 54,355 is: 119,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,717 : 54,355 = 54,355 : x
  2. Step 2: Convert to fraction form
    24,717/54,355 = 54,355/x
  3. Step 3: Cross multiply
    24,717x = 54,355 × 54,355
  4. Step 4: Simplify right side
    24,717x = 2,954,466,025
  5. Step 5: Solve for x
    x = 2,954,466,025/24,717
  6. Step 6: Final answer
    x = 119,531.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.