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Finding the Third Proportional to 20,206 and 44,381

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Solution

The third proportional to 20,206 and 44,381 is: 97,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206 : 44,381 = 44,381 : x
  2. Step 2: Convert to fraction form
    20,206/44,381 = 44,381/x
  3. Step 3: Cross multiply
    20,206x = 44,381 × 44,381
  4. Step 4: Simplify right side
    20,206x = 1,969,673,161
  5. Step 5: Solve for x
    x = 1,969,673,161/20,206
  6. Step 6: Final answer
    x = 97,479.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.