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Finding the Third Proportional to 31,764 and 48,762

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Solution

The third proportional to 31,764 and 48,762 is: 74,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,764 : 48,762 = 48,762 : x
  2. Step 2: Convert to fraction form
    31,764/48,762 = 48,762/x
  3. Step 3: Cross multiply
    31,764x = 48,762 × 48,762
  4. Step 4: Simplify right side
    31,764x = 2,377,732,644
  5. Step 5: Solve for x
    x = 2,377,732,644/31,764
  6. Step 6: Final answer
    x = 74,856.21

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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.