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Finding the Third Proportional to 20.05 and 47.56

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Solution

The third proportional to 20.05 and 47.56 is: 112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.05 : 47.56 = 47.56 : x
  2. Step 2: Convert to fraction form
    20.05/47.56 = 47.56/x
  3. Step 3: Cross multiply
    20.05x = 47.56 × 47.56
  4. Step 4: Simplify right side
    20.05x = 2,262.09
  5. Step 5: Solve for x
    x = 2,262.09/20.05
  6. Step 6: Final answer
    x = 112.83

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.