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Finding the Third Proportional to 6.82 and 9.77

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Solution

The third proportional to 6.82 and 9.77 is: 14.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.82 : 9.77 = 9.77 : x
  2. Step 2: Convert to fraction form
    6.82/9.77 = 9.77/x
  3. Step 3: Cross multiply
    6.82x = 9.77 × 9.77
  4. Step 4: Simplify right side
    6.82x = 95.52
  5. Step 5: Solve for x
    x = 95.52/6.82
  6. Step 6: Final answer
    x = 14.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.