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Finding the Third Proportional to 27,591 and 60,195

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Solution

The third proportional to 27,591 and 60,195 is: 131,326.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,591 : 60,195 = 60,195 : x
  2. Step 2: Convert to fraction form
    27,591/60,195 = 60,195/x
  3. Step 3: Cross multiply
    27,591x = 60,195 × 60,195
  4. Step 4: Simplify right side
    27,591x = 3,623,438,025
  5. Step 5: Solve for x
    x = 3,623,438,025/27,591
  6. Step 6: Final answer
    x = 131,326.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.