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Finding the Third Proportional to 40,242.75 and 54,654.94

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Solution

The third proportional to 40,242.75 and 54,654.94 is: 74,228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,242.75 : 54,654.94 = 54,654.94 : x
  2. Step 2: Convert to fraction form
    40,242.75/54,654.94 = 54,654.94/x
  3. Step 3: Cross multiply
    40,242.75x = 54,654.94 × 54,654.94
  4. Step 4: Simplify right side
    40,242.75x = 2,987,162,193.13
  5. Step 5: Solve for x
    x = 2,987,162,193.13/40,242.75
  6. Step 6: Final answer
    x = 74,228.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.