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Finding the Third Proportional to 48,387 and 72,864

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Solution

The third proportional to 48,387 and 72,864 is: 109,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,387 : 72,864 = 72,864 : x
  2. Step 2: Convert to fraction form
    48,387/72,864 = 72,864/x
  3. Step 3: Cross multiply
    48,387x = 72,864 × 72,864
  4. Step 4: Simplify right side
    48,387x = 5,309,162,496
  5. Step 5: Solve for x
    x = 5,309,162,496/48,387
  6. Step 6: Final answer
    x = 109,722.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.