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Finding the Third Proportional to 12,165.19 and 18,247.78

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Solution

The third proportional to 12,165.19 and 18,247.78 is: 27,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 18,247.78 = 18,247.78 : x
  2. Step 2: Convert to fraction form
    12,165.19/18,247.78 = 18,247.78/x
  3. Step 3: Cross multiply
    12,165.19x = 18,247.78 × 18,247.78
  4. Step 4: Simplify right side
    12,165.19x = 332,981,520.55
  5. Step 5: Solve for x
    x = 332,981,520.55/12,165.19
  6. Step 6: Final answer
    x = 27,371.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.