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Finding the Third Proportional to 31,062 and 41,384

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Solution

The third proportional to 31,062 and 41,384 is: 55,136.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,062 : 41,384 = 41,384 : x
  2. Step 2: Convert to fraction form
    31,062/41,384 = 41,384/x
  3. Step 3: Cross multiply
    31,062x = 41,384 × 41,384
  4. Step 4: Simplify right side
    31,062x = 1,712,635,456
  5. Step 5: Solve for x
    x = 1,712,635,456/31,062
  6. Step 6: Final answer
    x = 55,136.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.