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Finding the Third Proportional to 20.21 and 47.71

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Solution

The third proportional to 20.21 and 47.71 is: 112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.21 : 47.71 = 47.71 : x
  2. Step 2: Convert to fraction form
    20.21/47.71 = 47.71/x
  3. Step 3: Cross multiply
    20.21x = 47.71 × 47.71
  4. Step 4: Simplify right side
    20.21x = 2,275.96
  5. Step 5: Solve for x
    x = 2,275.96/20.21
  6. Step 6: Final answer
    x = 112.59

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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.