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Finding the Third Proportional to 11.15 and 26.70

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Solution

The third proportional to 11.15 and 26.70 is: 63.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.15 : 26.70 = 26.70 : x
  2. Step 2: Convert to fraction form
    11.15/26.70 = 26.70/x
  3. Step 3: Cross multiply
    11.15x = 26.70 × 26.70
  4. Step 4: Simplify right side
    11.15x = 712.82
  5. Step 5: Solve for x
    x = 712.82/11.15
  6. Step 6: Final answer
    x = 63.90

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.