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Finding the Third Proportional to 41,027 and 61,471

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Solution

The third proportional to 41,027 and 61,471 is: 92,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,027 : 61,471 = 61,471 : x
  2. Step 2: Convert to fraction form
    41,027/61,471 = 61,471/x
  3. Step 3: Cross multiply
    41,027x = 61,471 × 61,471
  4. Step 4: Simplify right side
    41,027x = 3,778,683,841
  5. Step 5: Solve for x
    x = 3,778,683,841/41,027
  6. Step 6: Final answer
    x = 92,102.37

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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.