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Finding the Third Proportional to 3,143.53 and 6,544.97

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Solution

The third proportional to 3,143.53 and 6,544.97 is: 13,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.53 : 6,544.97 = 6,544.97 : x
  2. Step 2: Convert to fraction form
    3,143.53/6,544.97 = 6,544.97/x
  3. Step 3: Cross multiply
    3,143.53x = 6,544.97 × 6,544.97
  4. Step 4: Simplify right side
    3,143.53x = 42,836,615.94
  5. Step 5: Solve for x
    x = 42,836,615.94/3,143.53
  6. Step 6: Final answer
    x = 13,626.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.