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Finding the Third Proportional to 5.22 and 7.12

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Solution

The third proportional to 5.22 and 7.12 is: 9.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.22 : 7.12 = 7.12 : x
  2. Step 2: Convert to fraction form
    5.22/7.12 = 7.12/x
  3. Step 3: Cross multiply
    5.22x = 7.12 × 7.12
  4. Step 4: Simplify right side
    5.22x = 50.68
  5. Step 5: Solve for x
    x = 50.68/5.22
  6. Step 6: Final answer
    x = 9.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.