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Finding the Third Proportional to 24,821 and 36,744

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Solution

The third proportional to 24,821 and 36,744 is: 54,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821 : 36,744 = 36,744 : x
  2. Step 2: Convert to fraction form
    24,821/36,744 = 36,744/x
  3. Step 3: Cross multiply
    24,821x = 36,744 × 36,744
  4. Step 4: Simplify right side
    24,821x = 1,350,121,536
  5. Step 5: Solve for x
    x = 1,350,121,536/24,821
  6. Step 6: Final answer
    x = 54,394.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.