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Finding the Third Proportional to 41,091 and 62,741

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Solution

The third proportional to 41,091 and 62,741 is: 95,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,091 : 62,741 = 62,741 : x
  2. Step 2: Convert to fraction form
    41,091/62,741 = 62,741/x
  3. Step 3: Cross multiply
    41,091x = 62,741 × 62,741
  4. Step 4: Simplify right side
    41,091x = 3,936,433,081
  5. Step 5: Solve for x
    x = 3,936,433,081/41,091
  6. Step 6: Final answer
    x = 95,797.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.