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Finding the Third Proportional to 20,229.75 and 44,165.25

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Solution

The third proportional to 20,229.75 and 44,165.25 is: 96,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.75 : 44,165.25 = 44,165.25 : x
  2. Step 2: Convert to fraction form
    20,229.75/44,165.25 = 44,165.25/x
  3. Step 3: Cross multiply
    20,229.75x = 44,165.25 × 44,165.25
  4. Step 4: Simplify right side
    20,229.75x = 1,950,569,307.56
  5. Step 5: Solve for x
    x = 1,950,569,307.56/20,229.75
  6. Step 6: Final answer
    x = 96,420.83

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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.