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Finding the Third Proportional to 26,649 and 57,186

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Solution

The third proportional to 26,649 and 57,186 is: 122,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,649 : 57,186 = 57,186 : x
  2. Step 2: Convert to fraction form
    26,649/57,186 = 57,186/x
  3. Step 3: Cross multiply
    26,649x = 57,186 × 57,186
  4. Step 4: Simplify right side
    26,649x = 3,270,238,596
  5. Step 5: Solve for x
    x = 3,270,238,596/26,649
  6. Step 6: Final answer
    x = 122,715.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.