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Finding the Third Proportional to 20,200 and 41,407

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Solution

The third proportional to 20,200 and 41,407 is: 84,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200 : 41,407 = 41,407 : x
  2. Step 2: Convert to fraction form
    20,200/41,407 = 41,407/x
  3. Step 3: Cross multiply
    20,200x = 41,407 × 41,407
  4. Step 4: Simplify right side
    20,200x = 1,714,539,649
  5. Step 5: Solve for x
    x = 1,714,539,649/20,200
  6. Step 6: Final answer
    x = 84,878.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.