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Finding the Third Proportional to 5.05 and 10.71

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Solution

The third proportional to 5.05 and 10.71 is: 22.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.05 : 10.71 = 10.71 : x
  2. Step 2: Convert to fraction form
    5.05/10.71 = 10.71/x
  3. Step 3: Cross multiply
    5.05x = 10.71 × 10.71
  4. Step 4: Simplify right side
    5.05x = 114.62
  5. Step 5: Solve for x
    x = 114.62/5.05
  6. Step 6: Final answer
    x = 22.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.