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Finding the Third Proportional to 7.56 and 11.54

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Solution

The third proportional to 7.56 and 11.54 is: 17.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.56 : 11.54 = 11.54 : x
  2. Step 2: Convert to fraction form
    7.56/11.54 = 11.54/x
  3. Step 3: Cross multiply
    7.56x = 11.54 × 11.54
  4. Step 4: Simplify right side
    7.56x = 133.08
  5. Step 5: Solve for x
    x = 133.08/7.56
  6. Step 6: Final answer
    x = 17.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.