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Finding the Third Proportional to 2.74 and 5.79

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Solution

The third proportional to 2.74 and 5.79 is: 12.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.74 : 5.79 = 5.79 : x
  2. Step 2: Convert to fraction form
    2.74/5.79 = 5.79/x
  3. Step 3: Cross multiply
    2.74x = 5.79 × 5.79
  4. Step 4: Simplify right side
    2.74x = 33.52
  5. Step 5: Solve for x
    x = 33.52/2.74
  6. Step 6: Final answer
    x = 12.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.