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Finding the Third Proportional to 11.50 and 17.91

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Solution

The third proportional to 11.50 and 17.91 is: 27.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.50 : 17.91 = 17.91 : x
  2. Step 2: Convert to fraction form
    11.50/17.91 = 17.91/x
  3. Step 3: Cross multiply
    11.50x = 17.91 × 17.91
  4. Step 4: Simplify right side
    11.50x = 320.63
  5. Step 5: Solve for x
    x = 320.63/11.50
  6. Step 6: Final answer
    x = 27.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.