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Finding the Third Proportional to 6.77 and 14.73

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Solution

The third proportional to 6.77 and 14.73 is: 32.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.77 : 14.73 = 14.73 : x
  2. Step 2: Convert to fraction form
    6.77/14.73 = 14.73/x
  3. Step 3: Cross multiply
    6.77x = 14.73 × 14.73
  4. Step 4: Simplify right side
    6.77x = 216.98
  5. Step 5: Solve for x
    x = 216.98/6.77
  6. Step 6: Final answer
    x = 32.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.