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Finding the Third Proportional to 1.69 and 3.64

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Solution

The third proportional to 1.69 and 3.64 is: 7.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.69 : 3.64 = 3.64 : x
  2. Step 2: Convert to fraction form
    1.69/3.64 = 3.64/x
  3. Step 3: Cross multiply
    1.69x = 3.64 × 3.64
  4. Step 4: Simplify right side
    1.69x = 13.26
  5. Step 5: Solve for x
    x = 13.26/1.69
  6. Step 6: Final answer
    x = 7.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.