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Finding the Third Proportional to 20,163 and 32,027.25

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Solution

The third proportional to 20,163 and 32,027.25 is: 50,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163 : 32,027.25 = 32,027.25 : x
  2. Step 2: Convert to fraction form
    20,163/32,027.25 = 32,027.25/x
  3. Step 3: Cross multiply
    20,163x = 32,027.25 × 32,027.25
  4. Step 4: Simplify right side
    20,163x = 1,025,744,742.56
  5. Step 5: Solve for x
    x = 1,025,744,742.56/20,163
  6. Step 6: Final answer
    x = 50,872.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.