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Finding the Third Proportional to 26,204 and 36,831

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Solution

The third proportional to 26,204 and 36,831 is: 51,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,204 : 36,831 = 36,831 : x
  2. Step 2: Convert to fraction form
    26,204/36,831 = 36,831/x
  3. Step 3: Cross multiply
    26,204x = 36,831 × 36,831
  4. Step 4: Simplify right side
    26,204x = 1,356,522,561
  5. Step 5: Solve for x
    x = 1,356,522,561/26,204
  6. Step 6: Final answer
    x = 51,767.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.