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Finding the Third Proportional to 26,291.25 and 57,042

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Solution

The third proportional to 26,291.25 and 57,042 is: 123,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,291.25 : 57,042 = 57,042 : x
  2. Step 2: Convert to fraction form
    26,291.25/57,042 = 57,042/x
  3. Step 3: Cross multiply
    26,291.25x = 57,042 × 57,042
  4. Step 4: Simplify right side
    26,291.25x = 3,253,789,764
  5. Step 5: Solve for x
    x = 3,253,789,764/26,291.25
  6. Step 6: Final answer
    x = 123,759.42

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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.