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Finding the Third Proportional to 11,939.91 and 18,183.23

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Solution

The third proportional to 11,939.91 and 18,183.23 is: 27,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,939.91 : 18,183.23 = 18,183.23 : x
  2. Step 2: Convert to fraction form
    11,939.91/18,183.23 = 18,183.23/x
  3. Step 3: Cross multiply
    11,939.91x = 18,183.23 × 18,183.23
  4. Step 4: Simplify right side
    11,939.91x = 330,630,012.34
  5. Step 5: Solve for x
    x = 330,630,012.34/11,939.91
  6. Step 6: Final answer
    x = 27,691.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.