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Finding the Third Proportional to 40,614.75 and 54,344.25

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Solution

The third proportional to 40,614.75 and 54,344.25 is: 72,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,614.75 : 54,344.25 = 54,344.25 : x
  2. Step 2: Convert to fraction form
    40,614.75/54,344.25 = 54,344.25/x
  3. Step 3: Cross multiply
    40,614.75x = 54,344.25 × 54,344.25
  4. Step 4: Simplify right side
    40,614.75x = 2,953,297,508.06
  5. Step 5: Solve for x
    x = 2,953,297,508.06/40,614.75
  6. Step 6: Final answer
    x = 72,714.90

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.