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Finding the Third Proportional to 2,545.17 and 6,129.42

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Solution

The third proportional to 2,545.17 and 6,129.42 is: 14,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.17 : 6,129.42 = 6,129.42 : x
  2. Step 2: Convert to fraction form
    2,545.17/6,129.42 = 6,129.42/x
  3. Step 3: Cross multiply
    2,545.17x = 6,129.42 × 6,129.42
  4. Step 4: Simplify right side
    2,545.17x = 37,569,812.52
  5. Step 5: Solve for x
    x = 37,569,812.52/2,545.17
  6. Step 6: Final answer
    x = 14,761.21

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.