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Finding the Third Proportional to 26,954 and 55,204

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Solution

The third proportional to 26,954 and 55,204 is: 113,062.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,954 : 55,204 = 55,204 : x
  2. Step 2: Convert to fraction form
    26,954/55,204 = 55,204/x
  3. Step 3: Cross multiply
    26,954x = 55,204 × 55,204
  4. Step 4: Simplify right side
    26,954x = 3,047,481,616
  5. Step 5: Solve for x
    x = 3,047,481,616/26,954
  6. Step 6: Final answer
    x = 113,062.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.