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Finding the Third Proportional to 18,105.75 and 38,004.75

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Solution

The third proportional to 18,105.75 and 38,004.75 is: 79,773.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,105.75 : 38,004.75 = 38,004.75 : x
  2. Step 2: Convert to fraction form
    18,105.75/38,004.75 = 38,004.75/x
  3. Step 3: Cross multiply
    18,105.75x = 38,004.75 × 38,004.75
  4. Step 4: Simplify right side
    18,105.75x = 1,444,361,022.56
  5. Step 5: Solve for x
    x = 1,444,361,022.56/18,105.75
  6. Step 6: Final answer
    x = 79,773.61

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