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Finding the Third Proportional to 41,025.75 and 61,469.25

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Solution

The third proportional to 41,025.75 and 61,469.25 is: 92,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,025.75 : 61,469.25 = 61,469.25 : x
  2. Step 2: Convert to fraction form
    41,025.75/61,469.25 = 61,469.25/x
  3. Step 3: Cross multiply
    41,025.75x = 61,469.25 × 61,469.25
  4. Step 4: Simplify right side
    41,025.75x = 3,778,468,695.56
  5. Step 5: Solve for x
    x = 3,778,468,695.56/41,025.75
  6. Step 6: Final answer
    x = 92,099.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.