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Finding the Third Proportional to 18,197 and 27,184

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Solution

The third proportional to 18,197 and 27,184 is: 40,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,197 : 27,184 = 27,184 : x
  2. Step 2: Convert to fraction form
    18,197/27,184 = 27,184/x
  3. Step 3: Cross multiply
    18,197x = 27,184 × 27,184
  4. Step 4: Simplify right side
    18,197x = 738,969,856
  5. Step 5: Solve for x
    x = 738,969,856/18,197
  6. Step 6: Final answer
    x = 40,609.43

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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.