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Finding the Third Proportional to 2.84 and 3.91

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Solution

The third proportional to 2.84 and 3.91 is: 5.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.84 : 3.91 = 3.91 : x
  2. Step 2: Convert to fraction form
    2.84/3.91 = 3.91/x
  3. Step 3: Cross multiply
    2.84x = 3.91 × 3.91
  4. Step 4: Simplify right side
    2.84x = 15.26
  5. Step 5: Solve for x
    x = 15.26/2.84
  6. Step 6: Final answer
    x = 5.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.