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Finding the Third Proportional to 24,330 and 37,569

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Solution

The third proportional to 24,330 and 37,569 is: 58,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,330 : 37,569 = 37,569 : x
  2. Step 2: Convert to fraction form
    24,330/37,569 = 37,569/x
  3. Step 3: Cross multiply
    24,330x = 37,569 × 37,569
  4. Step 4: Simplify right side
    24,330x = 1,411,429,761
  5. Step 5: Solve for x
    x = 1,411,429,761/24,330
  6. Step 6: Final answer
    x = 58,011.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.