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Finding the Third Proportional to 11.84 and 27.80

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Solution

The third proportional to 11.84 and 27.80 is: 65.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.84 : 27.80 = 27.80 : x
  2. Step 2: Convert to fraction form
    11.84/27.80 = 27.80/x
  3. Step 3: Cross multiply
    11.84x = 27.80 × 27.80
  4. Step 4: Simplify right side
    11.84x = 772.83
  5. Step 5: Solve for x
    x = 772.83/11.84
  6. Step 6: Final answer
    x = 65.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.