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Finding the Third Proportional to 18,193 and 27,177

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Solution

The third proportional to 18,193 and 27,177 is: 40,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,193 : 27,177 = 27,177 : x
  2. Step 2: Convert to fraction form
    18,193/27,177 = 27,177/x
  3. Step 3: Cross multiply
    18,193x = 27,177 × 27,177
  4. Step 4: Simplify right side
    18,193x = 738,589,329
  5. Step 5: Solve for x
    x = 738,589,329/18,193
  6. Step 6: Final answer
    x = 40,597.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.