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Finding the Third Proportional to 20.09 and 47.38

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Solution

The third proportional to 20.09 and 47.38 is: 111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.09 : 47.38 = 47.38 : x
  2. Step 2: Convert to fraction form
    20.09/47.38 = 47.38/x
  3. Step 3: Cross multiply
    20.09x = 47.38 × 47.38
  4. Step 4: Simplify right side
    20.09x = 2,245.03
  5. Step 5: Solve for x
    x = 2,245.03/20.09
  6. Step 6: Final answer
    x = 111.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.