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Finding the Third Proportional to 3,283.50 and 6,843.75

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Solution

The third proportional to 3,283.50 and 6,843.75 is: 14,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.50 : 6,843.75 = 6,843.75 : x
  2. Step 2: Convert to fraction form
    3,283.50/6,843.75 = 6,843.75/x
  3. Step 3: Cross multiply
    3,283.50x = 6,843.75 × 6,843.75
  4. Step 4: Simplify right side
    3,283.50x = 46,836,914.06
  5. Step 5: Solve for x
    x = 46,836,914.06/3,283.50
  6. Step 6: Final answer
    x = 14,264.33

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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.