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Finding the Third Proportional to 8,193.66 and 18,027.56

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Solution

The third proportional to 8,193.66 and 18,027.56 is: 39,663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.66 : 18,027.56 = 18,027.56 : x
  2. Step 2: Convert to fraction form
    8,193.66/18,027.56 = 18,027.56/x
  3. Step 3: Cross multiply
    8,193.66x = 18,027.56 × 18,027.56
  4. Step 4: Simplify right side
    8,193.66x = 324,993,009.69
  5. Step 5: Solve for x
    x = 324,993,009.69/8,193.66
  6. Step 6: Final answer
    x = 39,663.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.