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Finding the Third Proportional to 26,204 and 55,357

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Solution

The third proportional to 26,204 and 55,357 is: 116,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,204 : 55,357 = 55,357 : x
  2. Step 2: Convert to fraction form
    26,204/55,357 = 55,357/x
  3. Step 3: Cross multiply
    26,204x = 55,357 × 55,357
  4. Step 4: Simplify right side
    26,204x = 3,064,397,449
  5. Step 5: Solve for x
    x = 3,064,397,449/26,204
  6. Step 6: Final answer
    x = 116,943.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.