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Finding the Third Proportional to 8,663.88 and 18,233.13

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Solution

The third proportional to 8,663.88 and 18,233.13 is: 38,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.88 : 18,233.13 = 18,233.13 : x
  2. Step 2: Convert to fraction form
    8,663.88/18,233.13 = 18,233.13/x
  3. Step 3: Cross multiply
    8,663.88x = 18,233.13 × 18,233.13
  4. Step 4: Simplify right side
    8,663.88x = 332,446,847.27
  5. Step 5: Solve for x
    x = 332,446,847.27/8,663.88
  6. Step 6: Final answer
    x = 38,371.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.