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Finding the Third Proportional to 20,441 and 44,163

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Solution

The third proportional to 20,441 and 44,163 is: 95,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,441 : 44,163 = 44,163 : x
  2. Step 2: Convert to fraction form
    20,441/44,163 = 44,163/x
  3. Step 3: Cross multiply
    20,441x = 44,163 × 44,163
  4. Step 4: Simplify right side
    20,441x = 1,950,370,569
  5. Step 5: Solve for x
    x = 1,950,370,569/20,441
  6. Step 6: Final answer
    x = 95,414.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.