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Finding the Third Proportional to 24,142 and 36,469

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Solution

The third proportional to 24,142 and 36,469 is: 55,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142 : 36,469 = 36,469 : x
  2. Step 2: Convert to fraction form
    24,142/36,469 = 36,469/x
  3. Step 3: Cross multiply
    24,142x = 36,469 × 36,469
  4. Step 4: Simplify right side
    24,142x = 1,329,987,961
  5. Step 5: Solve for x
    x = 1,329,987,961/24,142
  6. Step 6: Final answer
    x = 55,090.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.