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Finding the Third Proportional to 39,532.88 and 61,147.13

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Solution

The third proportional to 39,532.88 and 61,147.13 is: 94,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,532.88 : 61,147.13 = 61,147.13 : x
  2. Step 2: Convert to fraction form
    39,532.88/61,147.13 = 61,147.13/x
  3. Step 3: Cross multiply
    39,532.88x = 61,147.13 × 61,147.13
  4. Step 4: Simplify right side
    39,532.88x = 3,738,970,895.77
  5. Step 5: Solve for x
    x = 3,738,970,895.77/39,532.88
  6. Step 6: Final answer
    x = 94,578.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.