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Finding the Third Proportional to 39,974.77 and 86,996.53

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Solution

The third proportional to 39,974.77 and 86,996.53 is: 189,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,974.77 : 86,996.53 = 86,996.53 : x
  2. Step 2: Convert to fraction form
    39,974.77/86,996.53 = 86,996.53/x
  3. Step 3: Cross multiply
    39,974.77x = 86,996.53 × 86,996.53
  4. Step 4: Simplify right side
    39,974.77x = 7,568,396,449.53
  5. Step 5: Solve for x
    x = 7,568,396,449.53/39,974.77
  6. Step 6: Final answer
    x = 189,329.35

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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.