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Finding the Third Proportional to 6,728.06 and 13,729.50

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Solution

The third proportional to 6,728.06 and 13,729.50 is: 28,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.06 : 13,729.50 = 13,729.50 : x
  2. Step 2: Convert to fraction form
    6,728.06/13,729.50 = 13,729.50/x
  3. Step 3: Cross multiply
    6,728.06x = 13,729.50 × 13,729.50
  4. Step 4: Simplify right side
    6,728.06x = 188,499,170.25
  5. Step 5: Solve for x
    x = 188,499,170.25/6,728.06
  6. Step 6: Final answer
    x = 28,016.86

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.