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Finding the Third Proportional to 20,170 and 31,393

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Solution

The third proportional to 20,170 and 31,393 is: 48,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170 : 31,393 = 31,393 : x
  2. Step 2: Convert to fraction form
    20,170/31,393 = 31,393/x
  3. Step 3: Cross multiply
    20,170x = 31,393 × 31,393
  4. Step 4: Simplify right side
    20,170x = 985,520,449
  5. Step 5: Solve for x
    x = 985,520,449/20,170
  6. Step 6: Final answer
    x = 48,860.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.