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Finding the Third Proportional to 27,404 and 41,031

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Solution

The third proportional to 27,404 and 41,031 is: 61,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,404 : 41,031 = 41,031 : x
  2. Step 2: Convert to fraction form
    27,404/41,031 = 41,031/x
  3. Step 3: Cross multiply
    27,404x = 41,031 × 41,031
  4. Step 4: Simplify right side
    27,404x = 1,683,542,961
  5. Step 5: Solve for x
    x = 1,683,542,961/27,404
  6. Step 6: Final answer
    x = 61,434.21

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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.