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Finding the Third Proportional to 5.97 and 9.11

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Solution

The third proportional to 5.97 and 9.11 is: 13.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.97 : 9.11 = 9.11 : x
  2. Step 2: Convert to fraction form
    5.97/9.11 = 9.11/x
  3. Step 3: Cross multiply
    5.97x = 9.11 × 9.11
  4. Step 4: Simplify right side
    5.97x = 83.08
  5. Step 5: Solve for x
    x = 83.08/5.97
  6. Step 6: Final answer
    x = 13.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.