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Finding the Third Proportional to 24,136 and 31,812

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Solution

The third proportional to 24,136 and 31,812 is: 41,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,136 : 31,812 = 31,812 : x
  2. Step 2: Convert to fraction form
    24,136/31,812 = 31,812/x
  3. Step 3: Cross multiply
    24,136x = 31,812 × 31,812
  4. Step 4: Simplify right side
    24,136x = 1,012,003,344
  5. Step 5: Solve for x
    x = 1,012,003,344/24,136
  6. Step 6: Final answer
    x = 41,929.21

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.