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Finding the Third Proportional to 3,304.25 and 6,817.75

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Solution

The third proportional to 3,304.25 and 6,817.75 is: 14,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.25 : 6,817.75 = 6,817.75 : x
  2. Step 2: Convert to fraction form
    3,304.25/6,817.75 = 6,817.75/x
  3. Step 3: Cross multiply
    3,304.25x = 6,817.75 × 6,817.75
  4. Step 4: Simplify right side
    3,304.25x = 46,481,715.06
  5. Step 5: Solve for x
    x = 46,481,715.06/3,304.25
  6. Step 6: Final answer
    x = 14,067.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.