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Finding the Third Proportional to 22,882 and 36,540

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Solution

The third proportional to 22,882 and 36,540 is: 58,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882 : 36,540 = 36,540 : x
  2. Step 2: Convert to fraction form
    22,882/36,540 = 36,540/x
  3. Step 3: Cross multiply
    22,882x = 36,540 × 36,540
  4. Step 4: Simplify right side
    22,882x = 1,335,171,600
  5. Step 5: Solve for x
    x = 1,335,171,600/22,882
  6. Step 6: Final answer
    x = 58,350.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.