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Finding the Third Proportional to 17,944.25 and 39,166.75

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Solution

The third proportional to 17,944.25 and 39,166.75 is: 85,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,944.25 : 39,166.75 = 39,166.75 : x
  2. Step 2: Convert to fraction form
    17,944.25/39,166.75 = 39,166.75/x
  3. Step 3: Cross multiply
    17,944.25x = 39,166.75 × 39,166.75
  4. Step 4: Simplify right side
    17,944.25x = 1,534,034,305.56
  5. Step 5: Solve for x
    x = 1,534,034,305.56/17,944.25
  6. Step 6: Final answer
    x = 85,488.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.