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Finding the Third Proportional to 8.36 and 13.82

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Solution

The third proportional to 8.36 and 13.82 is: 22.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.36 : 13.82 = 13.82 : x
  2. Step 2: Convert to fraction form
    8.36/13.82 = 13.82/x
  3. Step 3: Cross multiply
    8.36x = 13.82 × 13.82
  4. Step 4: Simplify right side
    8.36x = 190.89
  5. Step 5: Solve for x
    x = 190.89/8.36
  6. Step 6: Final answer
    x = 22.84

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.