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Finding the Third Proportional to 20,110 and 43,922

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Solution

The third proportional to 20,110 and 43,922 is: 95,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,110 : 43,922 = 43,922 : x
  2. Step 2: Convert to fraction form
    20,110/43,922 = 43,922/x
  3. Step 3: Cross multiply
    20,110x = 43,922 × 43,922
  4. Step 4: Simplify right side
    20,110x = 1,929,142,084
  5. Step 5: Solve for x
    x = 1,929,142,084/20,110
  6. Step 6: Final answer
    x = 95,929.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.