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Finding the Third Proportional to 26,794 and 57,279

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Solution

The third proportional to 26,794 and 57,279 is: 122,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,794 : 57,279 = 57,279 : x
  2. Step 2: Convert to fraction form
    26,794/57,279 = 57,279/x
  3. Step 3: Cross multiply
    26,794x = 57,279 × 57,279
  4. Step 4: Simplify right side
    26,794x = 3,280,883,841
  5. Step 5: Solve for x
    x = 3,280,883,841/26,794
  6. Step 6: Final answer
    x = 122,448.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.