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Finding the Third Proportional to 1.69 and 3

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Solution

The third proportional to 1.69 and 3 is: 5.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.69 : 3 = 3 : x
  2. Step 2: Convert to fraction form
    1.69/3 = 3/x
  3. Step 3: Cross multiply
    1.69x = 3 × 3
  4. Step 4: Simplify right side
    1.69x = 9
  5. Step 5: Solve for x
    x = 9/1.69
  6. Step 6: Final answer
    x = 5.33

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.