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Finding the Third Proportional to 9.50 and 11

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Solution

The third proportional to 9.50 and 11 is: 12.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.50 : 11 = 11 : x
  2. Step 2: Convert to fraction form
    9.50/11 = 11/x
  3. Step 3: Cross multiply
    9.50x = 11 × 11
  4. Step 4: Simplify right side
    9.50x = 121
  5. Step 5: Solve for x
    x = 121/9.50
  6. Step 6: Final answer
    x = 12.74

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.