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Finding the Third Proportional to 6,362.61 and 13,704.82

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Solution

The third proportional to 6,362.61 and 13,704.82 is: 29,519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.61 : 13,704.82 = 13,704.82 : x
  2. Step 2: Convert to fraction form
    6,362.61/13,704.82 = 13,704.82/x
  3. Step 3: Cross multiply
    6,362.61x = 13,704.82 × 13,704.82
  4. Step 4: Simplify right side
    6,362.61x = 187,822,099.80
  5. Step 5: Solve for x
    x = 187,822,099.80/6,362.61
  6. Step 6: Final answer
    x = 29,519.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.