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Finding the Third Proportional to 5.12 and 6.83

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Solution

The third proportional to 5.12 and 6.83 is: 9.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.12 : 6.83 = 6.83 : x
  2. Step 2: Convert to fraction form
    5.12/6.83 = 6.83/x
  3. Step 3: Cross multiply
    5.12x = 6.83 × 6.83
  4. Step 4: Simplify right side
    5.12x = 46.64
  5. Step 5: Solve for x
    x = 46.64/5.12
  6. Step 6: Final answer
    x = 9.12

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.