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Finding the Third Proportional to 40,425.75 and 61,200.56

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Solution

The third proportional to 40,425.75 and 61,200.56 is: 92,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,425.75 : 61,200.56 = 61,200.56 : x
  2. Step 2: Convert to fraction form
    40,425.75/61,200.56 = 61,200.56/x
  3. Step 3: Cross multiply
    40,425.75x = 61,200.56 × 61,200.56
  4. Step 4: Simplify right side
    40,425.75x = 3,745,508,850.32
  5. Step 5: Solve for x
    x = 3,745,508,850.32/40,425.75
  6. Step 6: Final answer
    x = 92,651.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.