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Finding the Third Proportional to 38,832 and 59,976

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Solution

The third proportional to 38,832 and 59,976 is: 92,632.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,832 : 59,976 = 59,976 : x
  2. Step 2: Convert to fraction form
    38,832/59,976 = 59,976/x
  3. Step 3: Cross multiply
    38,832x = 59,976 × 59,976
  4. Step 4: Simplify right side
    38,832x = 3,597,120,576
  5. Step 5: Solve for x
    x = 3,597,120,576/38,832
  6. Step 6: Final answer
    x = 92,632.89

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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.