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Finding the Third Proportional to 20,170 and 41,636

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Solution

The third proportional to 20,170 and 41,636 is: 85,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170 : 41,636 = 41,636 : x
  2. Step 2: Convert to fraction form
    20,170/41,636 = 41,636/x
  3. Step 3: Cross multiply
    20,170x = 41,636 × 41,636
  4. Step 4: Simplify right side
    20,170x = 1,733,556,496
  5. Step 5: Solve for x
    x = 1,733,556,496/20,170
  6. Step 6: Final answer
    x = 85,947.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.