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Finding the Third Proportional to 11,545.88 and 24,872.70

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Solution

The third proportional to 11,545.88 and 24,872.70 is: 53,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.88 : 24,872.70 = 24,872.70 : x
  2. Step 2: Convert to fraction form
    11,545.88/24,872.70 = 24,872.70/x
  3. Step 3: Cross multiply
    11,545.88x = 24,872.70 × 24,872.70
  4. Step 4: Simplify right side
    11,545.88x = 618,650,972.11
  5. Step 5: Solve for x
    x = 618,650,972.11/11,545.88
  6. Step 6: Final answer
    x = 53,581.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.