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Finding the Third Proportional to 24,864 and 36,122

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Solution

The third proportional to 24,864 and 36,122 is: 52,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,864 : 36,122 = 36,122 : x
  2. Step 2: Convert to fraction form
    24,864/36,122 = 36,122/x
  3. Step 3: Cross multiply
    24,864x = 36,122 × 36,122
  4. Step 4: Simplify right side
    24,864x = 1,304,798,884
  5. Step 5: Solve for x
    x = 1,304,798,884/24,864
  6. Step 6: Final answer
    x = 52,477.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.