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Finding the Third Proportional to 5.69 and 7.81

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Solution

The third proportional to 5.69 and 7.81 is: 10.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.69 : 7.81 = 7.81 : x
  2. Step 2: Convert to fraction form
    5.69/7.81 = 7.81/x
  3. Step 3: Cross multiply
    5.69x = 7.81 × 7.81
  4. Step 4: Simplify right side
    5.69x = 61.04
  5. Step 5: Solve for x
    x = 61.04/5.69
  6. Step 6: Final answer
    x = 10.73

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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.