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Finding the Third Proportional to 49,712 and 75,864

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Solution

The third proportional to 49,712 and 75,864 is: 115,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,712 : 75,864 = 75,864 : x
  2. Step 2: Convert to fraction form
    49,712/75,864 = 75,864/x
  3. Step 3: Cross multiply
    49,712x = 75,864 × 75,864
  4. Step 4: Simplify right side
    49,712x = 5,755,346,496
  5. Step 5: Solve for x
    x = 5,755,346,496/49,712
  6. Step 6: Final answer
    x = 115,773.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.