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Finding the Third Proportional to 22,472 and 33,508

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Solution

The third proportional to 22,472 and 33,508 is: 49,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472 : 33,508 = 33,508 : x
  2. Step 2: Convert to fraction form
    22,472/33,508 = 33,508/x
  3. Step 3: Cross multiply
    22,472x = 33,508 × 33,508
  4. Step 4: Simplify right side
    22,472x = 1,122,786,064
  5. Step 5: Solve for x
    x = 1,122,786,064/22,472
  6. Step 6: Final answer
    x = 49,963.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.