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Finding the Third Proportional to 39,986 and 86,884

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Solution

The third proportional to 39,986 and 86,884 is: 188,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,986 : 86,884 = 86,884 : x
  2. Step 2: Convert to fraction form
    39,986/86,884 = 86,884/x
  3. Step 3: Cross multiply
    39,986x = 86,884 × 86,884
  4. Step 4: Simplify right side
    39,986x = 7,548,829,456
  5. Step 5: Solve for x
    x = 7,548,829,456/39,986
  6. Step 6: Final answer
    x = 188,786.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.