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Finding the Third Proportional to 20,194 and 41,519

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Solution

The third proportional to 20,194 and 41,519 is: 85,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194 : 41,519 = 41,519 : x
  2. Step 2: Convert to fraction form
    20,194/41,519 = 41,519/x
  3. Step 3: Cross multiply
    20,194x = 41,519 × 41,519
  4. Step 4: Simplify right side
    20,194x = 1,723,827,361
  5. Step 5: Solve for x
    x = 1,723,827,361/20,194
  6. Step 6: Final answer
    x = 85,363.34

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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.