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Finding the Third Proportional to 36,922 and 86,682

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Solution

The third proportional to 36,922 and 86,682 is: 203,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,922 : 86,682 = 86,682 : x
  2. Step 2: Convert to fraction form
    36,922/86,682 = 86,682/x
  3. Step 3: Cross multiply
    36,922x = 86,682 × 86,682
  4. Step 4: Simplify right side
    36,922x = 7,513,769,124
  5. Step 5: Solve for x
    x = 7,513,769,124/36,922
  6. Step 6: Final answer
    x = 203,503.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.