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Finding the Third Proportional to 26,882 and 36,494

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Solution

The third proportional to 26,882 and 36,494 is: 49,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,882 : 36,494 = 36,494 : x
  2. Step 2: Convert to fraction form
    26,882/36,494 = 36,494/x
  3. Step 3: Cross multiply
    26,882x = 36,494 × 36,494
  4. Step 4: Simplify right side
    26,882x = 1,331,812,036
  5. Step 5: Solve for x
    x = 1,331,812,036/26,882
  6. Step 6: Final answer
    x = 49,542.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.