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Finding the Third Proportional to 6,757.49 and 10,760.82

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Solution

The third proportional to 6,757.49 and 10,760.82 is: 17,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.49 : 10,760.82 = 10,760.82 : x
  2. Step 2: Convert to fraction form
    6,757.49/10,760.82 = 10,760.82/x
  3. Step 3: Cross multiply
    6,757.49x = 10,760.82 × 10,760.82
  4. Step 4: Simplify right side
    6,757.49x = 115,795,211.76
  5. Step 5: Solve for x
    x = 115,795,211.76/6,757.49
  6. Step 6: Final answer
    x = 17,135.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.