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Finding the Third Proportional to 7.66 and 11.56

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Solution

The third proportional to 7.66 and 11.56 is: 17.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.66 : 11.56 = 11.56 : x
  2. Step 2: Convert to fraction form
    7.66/11.56 = 11.56/x
  3. Step 3: Cross multiply
    7.66x = 11.56 × 11.56
  4. Step 4: Simplify right side
    7.66x = 133.61
  5. Step 5: Solve for x
    x = 133.61/7.66
  6. Step 6: Final answer
    x = 17.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.