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Finding the Third Proportional to 11.78 and 17.59

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Solution

The third proportional to 11.78 and 17.59 is: 26.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.78 : 17.59 = 17.59 : x
  2. Step 2: Convert to fraction form
    11.78/17.59 = 17.59/x
  3. Step 3: Cross multiply
    11.78x = 17.59 × 17.59
  4. Step 4: Simplify right side
    11.78x = 309.54
  5. Step 5: Solve for x
    x = 309.54/11.78
  6. Step 6: Final answer
    x = 26.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.