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Finding the Third Proportional to 39,904 and 60,724

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Solution

The third proportional to 39,904 and 60,724 is: 92,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,904 : 60,724 = 60,724 : x
  2. Step 2: Convert to fraction form
    39,904/60,724 = 60,724/x
  3. Step 3: Cross multiply
    39,904x = 60,724 × 60,724
  4. Step 4: Simplify right side
    39,904x = 3,687,404,176
  5. Step 5: Solve for x
    x = 3,687,404,176/39,904
  6. Step 6: Final answer
    x = 92,406.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.