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Finding the Third Proportional to 40,560.75 and 54,138.38

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Solution

The third proportional to 40,560.75 and 54,138.38 is: 72,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,560.75 : 54,138.38 = 54,138.38 : x
  2. Step 2: Convert to fraction form
    40,560.75/54,138.38 = 54,138.38/x
  3. Step 3: Cross multiply
    40,560.75x = 54,138.38 × 54,138.38
  4. Step 4: Simplify right side
    40,560.75x = 2,930,963,647.64
  5. Step 5: Solve for x
    x = 2,930,963,647.64/40,560.75
  6. Step 6: Final answer
    x = 72,261.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.