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Finding the Third Proportional to 27,676 and 38,836

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Solution

The third proportional to 27,676 and 38,836 is: 54,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676 : 38,836 = 38,836 : x
  2. Step 2: Convert to fraction form
    27,676/38,836 = 38,836/x
  3. Step 3: Cross multiply
    27,676x = 38,836 × 38,836
  4. Step 4: Simplify right side
    27,676x = 1,508,234,896
  5. Step 5: Solve for x
    x = 1,508,234,896/27,676
  6. Step 6: Final answer
    x = 54,496.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.