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Finding the Third Proportional to 27,891 and 60,408

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Solution

The third proportional to 27,891 and 60,408 is: 130,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,891 : 60,408 = 60,408 : x
  2. Step 2: Convert to fraction form
    27,891/60,408 = 60,408/x
  3. Step 3: Cross multiply
    27,891x = 60,408 × 60,408
  4. Step 4: Simplify right side
    27,891x = 3,649,126,464
  5. Step 5: Solve for x
    x = 3,649,126,464/27,891
  6. Step 6: Final answer
    x = 130,835.27

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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.