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Finding the Third Proportional to 39,382.03 and 86,418.56

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Solution

The third proportional to 39,382.03 and 86,418.56 is: 189,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,382.03 : 86,418.56 = 86,418.56 : x
  2. Step 2: Convert to fraction form
    39,382.03/86,418.56 = 86,418.56/x
  3. Step 3: Cross multiply
    39,382.03x = 86,418.56 × 86,418.56
  4. Step 4: Simplify right side
    39,382.03x = 7,468,167,944.57
  5. Step 5: Solve for x
    x = 7,468,167,944.57/39,382.03
  6. Step 6: Final answer
    x = 189,633.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.