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Finding the Third Proportional to 26,444 and 57,496

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Solution

The third proportional to 26,444 and 57,496 is: 125,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,444 : 57,496 = 57,496 : x
  2. Step 2: Convert to fraction form
    26,444/57,496 = 57,496/x
  3. Step 3: Cross multiply
    26,444x = 57,496 × 57,496
  4. Step 4: Simplify right side
    26,444x = 3,305,790,016
  5. Step 5: Solve for x
    x = 3,305,790,016/26,444
  6. Step 6: Final answer
    x = 125,010.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.