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Finding the Third Proportional to 31,252 and 42,414

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Solution

The third proportional to 31,252 and 42,414 is: 57,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,252 : 42,414 = 42,414 : x
  2. Step 2: Convert to fraction form
    31,252/42,414 = 42,414/x
  3. Step 3: Cross multiply
    31,252x = 42,414 × 42,414
  4. Step 4: Simplify right side
    31,252x = 1,798,947,396
  5. Step 5: Solve for x
    x = 1,798,947,396/31,252
  6. Step 6: Final answer
    x = 57,562.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.