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Finding the Third Proportional to 15,614.75 and 24,468

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Solution

The third proportional to 15,614.75 and 24,468 is: 38,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.75 : 24,468 = 24,468 : x
  2. Step 2: Convert to fraction form
    15,614.75/24,468 = 24,468/x
  3. Step 3: Cross multiply
    15,614.75x = 24,468 × 24,468
  4. Step 4: Simplify right side
    15,614.75x = 598,683,024
  5. Step 5: Solve for x
    x = 598,683,024/15,614.75
  6. Step 6: Final answer
    x = 38,340.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.