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Finding the Third Proportional to 38,765.25 and 58,147.88

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Solution

The third proportional to 38,765.25 and 58,147.88 is: 87,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,765.25 : 58,147.88 = 58,147.88 : x
  2. Step 2: Convert to fraction form
    38,765.25/58,147.88 = 58,147.88/x
  3. Step 3: Cross multiply
    38,765.25x = 58,147.88 × 58,147.88
  4. Step 4: Simplify right side
    38,765.25x = 3,381,175,367.02
  5. Step 5: Solve for x
    x = 3,381,175,367.02/38,765.25
  6. Step 6: Final answer
    x = 87,221.81

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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.