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Finding the Third Proportional to 2.24 and 3.39

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Solution

The third proportional to 2.24 and 3.39 is: 5.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.24 : 3.39 = 3.39 : x
  2. Step 2: Convert to fraction form
    2.24/3.39 = 3.39/x
  3. Step 3: Cross multiply
    2.24x = 3.39 × 3.39
  4. Step 4: Simplify right side
    2.24x = 11.46
  5. Step 5: Solve for x
    x = 11.46/2.24
  6. Step 6: Final answer
    x = 5.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.