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Finding the Third Proportional to 40,824.50 and 62,451.75

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Solution

The third proportional to 40,824.50 and 62,451.75 is: 95,536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,824.50 : 62,451.75 = 62,451.75 : x
  2. Step 2: Convert to fraction form
    40,824.50/62,451.75 = 62,451.75/x
  3. Step 3: Cross multiply
    40,824.50x = 62,451.75 × 62,451.75
  4. Step 4: Simplify right side
    40,824.50x = 3,900,221,078.06
  5. Step 5: Solve for x
    x = 3,900,221,078.06/40,824.50
  6. Step 6: Final answer
    x = 95,536.29

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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.