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Finding the Third Proportional to 39,842 and 87,652

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Solution

The third proportional to 39,842 and 87,652 is: 192,833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,842 : 87,652 = 87,652 : x
  2. Step 2: Convert to fraction form
    39,842/87,652 = 87,652/x
  3. Step 3: Cross multiply
    39,842x = 87,652 × 87,652
  4. Step 4: Simplify right side
    39,842x = 7,682,873,104
  5. Step 5: Solve for x
    x = 7,682,873,104/39,842
  6. Step 6: Final answer
    x = 192,833.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.