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Finding the Third Proportional to 24,267 and 36,249

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Solution

The third proportional to 24,267 and 36,249 is: 54,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,267 : 36,249 = 36,249 : x
  2. Step 2: Convert to fraction form
    24,267/36,249 = 36,249/x
  3. Step 3: Cross multiply
    24,267x = 36,249 × 36,249
  4. Step 4: Simplify right side
    24,267x = 1,313,990,001
  5. Step 5: Solve for x
    x = 1,313,990,001/24,267
  6. Step 6: Final answer
    x = 54,147.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.