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Finding the Third Proportional to 41,256 and 61,975

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Solution

The third proportional to 41,256 and 61,975 is: 93,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,256 : 61,975 = 61,975 : x
  2. Step 2: Convert to fraction form
    41,256/61,975 = 61,975/x
  3. Step 3: Cross multiply
    41,256x = 61,975 × 61,975
  4. Step 4: Simplify right side
    41,256x = 3,840,900,625
  5. Step 5: Solve for x
    x = 3,840,900,625/41,256
  6. Step 6: Final answer
    x = 93,099.20

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Why These Related Problems?

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