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Finding the Third Proportional to 9.57 and 11.26

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Solution

The third proportional to 9.57 and 11.26 is: 13.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.57 : 11.26 = 11.26 : x
  2. Step 2: Convert to fraction form
    9.57/11.26 = 11.26/x
  3. Step 3: Cross multiply
    9.57x = 11.26 × 11.26
  4. Step 4: Simplify right side
    9.57x = 126.87
  5. Step 5: Solve for x
    x = 126.87/9.57
  6. Step 6: Final answer
    x = 13.26

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.