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Finding the Third Proportional to 40,825.13 and 62,452.69

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Solution

The third proportional to 40,825.13 and 62,452.69 is: 95,537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,825.13 : 62,452.69 = 62,452.69 : x
  2. Step 2: Convert to fraction form
    40,825.13/62,452.69 = 62,452.69/x
  3. Step 3: Cross multiply
    40,825.13x = 62,452.69 × 62,452.69
  4. Step 4: Simplify right side
    40,825.13x = 3,900,338,175.97
  5. Step 5: Solve for x
    x = 3,900,338,175.97/40,825.13
  6. Step 6: Final answer
    x = 95,537.69

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.