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Finding the Third Proportional to 20,201 and 41,381

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Solution

The third proportional to 20,201 and 41,381 is: 84,767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201 : 41,381 = 41,381 : x
  2. Step 2: Convert to fraction form
    20,201/41,381 = 41,381/x
  3. Step 3: Cross multiply
    20,201x = 41,381 × 41,381
  4. Step 4: Simplify right side
    20,201x = 1,712,387,161
  5. Step 5: Solve for x
    x = 1,712,387,161/20,201
  6. Step 6: Final answer
    x = 84,767.45

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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.