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Finding the Third Proportional to 39,736 and 86,596

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Solution

The third proportional to 39,736 and 86,596 is: 188,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,736 : 86,596 = 86,596 : x
  2. Step 2: Convert to fraction form
    39,736/86,596 = 86,596/x
  3. Step 3: Cross multiply
    39,736x = 86,596 × 86,596
  4. Step 4: Simplify right side
    39,736x = 7,498,867,216
  5. Step 5: Solve for x
    x = 7,498,867,216/39,736
  6. Step 6: Final answer
    x = 188,717.21

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Why These Related Problems?

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