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Finding the Third Proportional to 26,976 and 57,408

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Solution

The third proportional to 26,976 and 57,408 is: 122,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,976 : 57,408 = 57,408 : x
  2. Step 2: Convert to fraction form
    26,976/57,408 = 57,408/x
  3. Step 3: Cross multiply
    26,976x = 57,408 × 57,408
  4. Step 4: Simplify right side
    26,976x = 3,295,678,464
  5. Step 5: Solve for x
    x = 3,295,678,464/26,976
  6. Step 6: Final answer
    x = 122,170.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.