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Finding the Third Proportional to 20,684.11 and 44,648.09

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Solution

The third proportional to 20,684.11 and 44,648.09 is: 96,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.11 : 44,648.09 = 44,648.09 : x
  2. Step 2: Convert to fraction form
    20,684.11/44,648.09 = 44,648.09/x
  3. Step 3: Cross multiply
    20,684.11x = 44,648.09 × 44,648.09
  4. Step 4: Simplify right side
    20,684.11x = 1,993,451,577.88
  5. Step 5: Solve for x
    x = 1,993,451,577.88/20,684.11
  6. Step 6: Final answer
    x = 96,375.99

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