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Finding the Third Proportional to 24,131 and 34,811

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Solution

The third proportional to 24,131 and 34,811 is: 50,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,131 : 34,811 = 34,811 : x
  2. Step 2: Convert to fraction form
    24,131/34,811 = 34,811/x
  3. Step 3: Cross multiply
    24,131x = 34,811 × 34,811
  4. Step 4: Simplify right side
    24,131x = 1,211,805,721
  5. Step 5: Solve for x
    x = 1,211,805,721/24,131
  6. Step 6: Final answer
    x = 50,217.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.