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Finding the Third Proportional to 6,730.75 and 13,797.38

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Solution

The third proportional to 6,730.75 and 13,797.38 is: 28,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.75 : 13,797.38 = 13,797.38 : x
  2. Step 2: Convert to fraction form
    6,730.75/13,797.38 = 13,797.38/x
  3. Step 3: Cross multiply
    6,730.75x = 13,797.38 × 13,797.38
  4. Step 4: Simplify right side
    6,730.75x = 190,367,556.89
  5. Step 5: Solve for x
    x = 190,367,556.89/6,730.75
  6. Step 6: Final answer
    x = 28,283.26

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.