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Finding the Third Proportional to 38,928 and 59,850

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Solution

The third proportional to 38,928 and 59,850 is: 92,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,928 : 59,850 = 59,850 : x
  2. Step 2: Convert to fraction form
    38,928/59,850 = 59,850/x
  3. Step 3: Cross multiply
    38,928x = 59,850 × 59,850
  4. Step 4: Simplify right side
    38,928x = 3,582,022,500
  5. Step 5: Solve for x
    x = 3,582,022,500/38,928
  6. Step 6: Final answer
    x = 92,016.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.