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Finding the Third Proportional to 9,682.03 and 13,704.82

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Solution

The third proportional to 9,682.03 and 13,704.82 is: 19,399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.03 : 13,704.82 = 13,704.82 : x
  2. Step 2: Convert to fraction form
    9,682.03/13,704.82 = 13,704.82/x
  3. Step 3: Cross multiply
    9,682.03x = 13,704.82 × 13,704.82
  4. Step 4: Simplify right side
    9,682.03x = 187,822,099.80
  5. Step 5: Solve for x
    x = 187,822,099.80/9,682.03
  6. Step 6: Final answer
    x = 19,399.04

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.