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Finding the Third Proportional to 2.69 and 5.64

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Solution

The third proportional to 2.69 and 5.64 is: 11.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.69 : 5.64 = 5.64 : x
  2. Step 2: Convert to fraction form
    2.69/5.64 = 5.64/x
  3. Step 3: Cross multiply
    2.69x = 5.64 × 5.64
  4. Step 4: Simplify right side
    2.69x = 31.84
  5. Step 5: Solve for x
    x = 31.84/2.69
  6. Step 6: Final answer
    x = 11.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.