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Finding the Third Proportional to 31,542 and 48,496

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Solution

The third proportional to 31,542 and 48,496 is: 74,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542 : 48,496 = 48,496 : x
  2. Step 2: Convert to fraction form
    31,542/48,496 = 48,496/x
  3. Step 3: Cross multiply
    31,542x = 48,496 × 48,496
  4. Step 4: Simplify right side
    31,542x = 2,351,862,016
  5. Step 5: Solve for x
    x = 2,351,862,016/31,542
  6. Step 6: Final answer
    x = 74,562.87

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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.