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Finding the Third Proportional to 40,747.50 and 61,391.25

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Solution

The third proportional to 40,747.50 and 61,391.25 is: 92,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,747.50 : 61,391.25 = 61,391.25 : x
  2. Step 2: Convert to fraction form
    40,747.50/61,391.25 = 61,391.25/x
  3. Step 3: Cross multiply
    40,747.50x = 61,391.25 × 61,391.25
  4. Step 4: Simplify right side
    40,747.50x = 3,768,885,576.56
  5. Step 5: Solve for x
    x = 3,768,885,576.56/40,747.50
  6. Step 6: Final answer
    x = 92,493.66

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