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Finding the Third Proportional to 3,180.75 and 6,974.25

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Solution

The third proportional to 3,180.75 and 6,974.25 is: 15,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.75 : 6,974.25 = 6,974.25 : x
  2. Step 2: Convert to fraction form
    3,180.75/6,974.25 = 6,974.25/x
  3. Step 3: Cross multiply
    3,180.75x = 6,974.25 × 6,974.25
  4. Step 4: Simplify right side
    3,180.75x = 48,640,163.06
  5. Step 5: Solve for x
    x = 48,640,163.06/3,180.75
  6. Step 6: Final answer
    x = 15,292.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.