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Finding the Third Proportional to 20,050 and 37,831

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Solution

The third proportional to 20,050 and 37,831 is: 71,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,050 : 37,831 = 37,831 : x
  2. Step 2: Convert to fraction form
    20,050/37,831 = 37,831/x
  3. Step 3: Cross multiply
    20,050x = 37,831 × 37,831
  4. Step 4: Simplify right side
    20,050x = 1,431,184,561
  5. Step 5: Solve for x
    x = 1,431,184,561/20,050
  6. Step 6: Final answer
    x = 71,380.78

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.