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Finding the Third Proportional to 7.26 and 11.00

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Solution

The third proportional to 7.26 and 11.00 is: 16.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.26 : 11.00 = 11.00 : x
  2. Step 2: Convert to fraction form
    7.26/11.00 = 11.00/x
  3. Step 3: Cross multiply
    7.26x = 11.00 × 11.00
  4. Step 4: Simplify right side
    7.26x = 120.93
  5. Step 5: Solve for x
    x = 120.93/7.26
  6. Step 6: Final answer
    x = 16.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.