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Finding the Third Proportional to 20,229.75 and 41,507.44

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Solution

The third proportional to 20,229.75 and 41,507.44 is: 85,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.75 : 41,507.44 = 41,507.44 : x
  2. Step 2: Convert to fraction form
    20,229.75/41,507.44 = 41,507.44/x
  3. Step 3: Cross multiply
    20,229.75x = 41,507.44 × 41,507.44
  4. Step 4: Simplify right side
    20,229.75x = 1,722,867,367.82
  5. Step 5: Solve for x
    x = 1,722,867,367.82/20,229.75
  6. Step 6: Final answer
    x = 85,165.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.