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Finding the Third Proportional to 38,724 and 57,932

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Solution

The third proportional to 38,724 and 57,932 is: 86,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,724 : 57,932 = 57,932 : x
  2. Step 2: Convert to fraction form
    38,724/57,932 = 57,932/x
  3. Step 3: Cross multiply
    38,724x = 57,932 × 57,932
  4. Step 4: Simplify right side
    38,724x = 3,356,116,624
  5. Step 5: Solve for x
    x = 3,356,116,624/38,724
  6. Step 6: Final answer
    x = 86,667.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.