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Finding the Third Proportional to 26,891 and 58,381

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Solution

The third proportional to 26,891 and 58,381 is: 126,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,891 : 58,381 = 58,381 : x
  2. Step 2: Convert to fraction form
    26,891/58,381 = 58,381/x
  3. Step 3: Cross multiply
    26,891x = 58,381 × 58,381
  4. Step 4: Simplify right side
    26,891x = 3,408,341,161
  5. Step 5: Solve for x
    x = 3,408,341,161/26,891
  6. Step 6: Final answer
    x = 126,746.54

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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.