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Finding the Third Proportional to 29,443 and 39,182

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Solution

The third proportional to 29,443 and 39,182 is: 52,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,443 : 39,182 = 39,182 : x
  2. Step 2: Convert to fraction form
    29,443/39,182 = 39,182/x
  3. Step 3: Cross multiply
    29,443x = 39,182 × 39,182
  4. Step 4: Simplify right side
    29,443x = 1,535,229,124
  5. Step 5: Solve for x
    x = 1,535,229,124/29,443
  6. Step 6: Final answer
    x = 52,142.41

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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.