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Finding the Third Proportional to 15,147.38 and 32,400.75

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Solution

The third proportional to 15,147.38 and 32,400.75 is: 69,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147.38 : 32,400.75 = 32,400.75 : x
  2. Step 2: Convert to fraction form
    15,147.38/32,400.75 = 32,400.75/x
  3. Step 3: Cross multiply
    15,147.38x = 32,400.75 × 32,400.75
  4. Step 4: Simplify right side
    15,147.38x = 1,049,808,600.56
  5. Step 5: Solve for x
    x = 1,049,808,600.56/15,147.38
  6. Step 6: Final answer
    x = 69,306.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.