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Finding the Third Proportional to 9.91 and 13.22

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Solution

The third proportional to 9.91 and 13.22 is: 17.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.91 : 13.22 = 13.22 : x
  2. Step 2: Convert to fraction form
    9.91/13.22 = 13.22/x
  3. Step 3: Cross multiply
    9.91x = 13.22 × 13.22
  4. Step 4: Simplify right side
    9.91x = 174.76
  5. Step 5: Solve for x
    x = 174.76/9.91
  6. Step 6: Final answer
    x = 17.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.