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Finding the Third Proportional to 22,882 and 36,543

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Solution

The third proportional to 22,882 and 36,543 is: 58,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882 : 36,543 = 36,543 : x
  2. Step 2: Convert to fraction form
    22,882/36,543 = 36,543/x
  3. Step 3: Cross multiply
    22,882x = 36,543 × 36,543
  4. Step 4: Simplify right side
    22,882x = 1,335,390,849
  5. Step 5: Solve for x
    x = 1,335,390,849/22,882
  6. Step 6: Final answer
    x = 58,359.88

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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.