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Finding the Third Proportional to 27,193 and 57,649

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Solution

The third proportional to 27,193 and 57,649 is: 122,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,193 : 57,649 = 57,649 : x
  2. Step 2: Convert to fraction form
    27,193/57,649 = 57,649/x
  3. Step 3: Cross multiply
    27,193x = 57,649 × 57,649
  4. Step 4: Simplify right side
    27,193x = 3,323,407,201
  5. Step 5: Solve for x
    x = 3,323,407,201/27,193
  6. Step 6: Final answer
    x = 122,215.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.