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Finding the Third Proportional to 9.05 and 11.06

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Solution

The third proportional to 9.05 and 11.06 is: 13.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.05 : 11.06 = 11.06 : x
  2. Step 2: Convert to fraction form
    9.05/11.06 = 11.06/x
  3. Step 3: Cross multiply
    9.05x = 11.06 × 11.06
  4. Step 4: Simplify right side
    9.05x = 122.38
  5. Step 5: Solve for x
    x = 122.38/9.05
  6. Step 6: Final answer
    x = 13.53

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.