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Finding the Third Proportional to 20,114 and 41,357

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Solution

The third proportional to 20,114 and 41,357 is: 85,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114 : 41,357 = 41,357 : x
  2. Step 2: Convert to fraction form
    20,114/41,357 = 41,357/x
  3. Step 3: Cross multiply
    20,114x = 41,357 × 41,357
  4. Step 4: Simplify right side
    20,114x = 1,710,401,449
  5. Step 5: Solve for x
    x = 1,710,401,449/20,114
  6. Step 6: Final answer
    x = 85,035.37

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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.