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Finding the Third Proportional to 38,959 and 58,439

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Solution

The third proportional to 38,959 and 58,439 is: 87,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,959 : 58,439 = 58,439 : x
  2. Step 2: Convert to fraction form
    38,959/58,439 = 58,439/x
  3. Step 3: Cross multiply
    38,959x = 58,439 × 58,439
  4. Step 4: Simplify right side
    38,959x = 3,415,116,721
  5. Step 5: Solve for x
    x = 3,415,116,721/38,959
  6. Step 6: Final answer
    x = 87,659.25

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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.