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Finding the Third Proportional to 3,376.69 and 7,003.97

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Solution

The third proportional to 3,376.69 and 7,003.97 is: 14,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.69 : 7,003.97 = 7,003.97 : x
  2. Step 2: Convert to fraction form
    3,376.69/7,003.97 = 7,003.97/x
  3. Step 3: Cross multiply
    3,376.69x = 7,003.97 × 7,003.97
  4. Step 4: Simplify right side
    3,376.69x = 49,055,578.25
  5. Step 5: Solve for x
    x = 49,055,578.25/3,376.69
  6. Step 6: Final answer
    x = 14,527.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.