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Finding the Third Proportional to 38,086.50 and 58,022.75

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Solution

The third proportional to 38,086.50 and 58,022.75 is: 88,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,086.50 : 58,022.75 = 58,022.75 : x
  2. Step 2: Convert to fraction form
    38,086.50/58,022.75 = 58,022.75/x
  3. Step 3: Cross multiply
    38,086.50x = 58,022.75 × 58,022.75
  4. Step 4: Simplify right side
    38,086.50x = 3,366,639,517.56
  5. Step 5: Solve for x
    x = 3,366,639,517.56/38,086.50
  6. Step 6: Final answer
    x = 88,394.56

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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.