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Finding the Third Proportional to 38,759 and 58,139

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Solution

The third proportional to 38,759 and 58,139 is: 87,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,759 : 58,139 = 58,139 : x
  2. Step 2: Convert to fraction form
    38,759/58,139 = 58,139/x
  3. Step 3: Cross multiply
    38,759x = 58,139 × 58,139
  4. Step 4: Simplify right side
    38,759x = 3,380,143,321
  5. Step 5: Solve for x
    x = 3,380,143,321/38,759
  6. Step 6: Final answer
    x = 87,209.25

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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.