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Finding the Third Proportional to 3,883.75 and 8,382.25

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Solution

The third proportional to 3,883.75 and 8,382.25 is: 18,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.75 : 8,382.25 = 8,382.25 : x
  2. Step 2: Convert to fraction form
    3,883.75/8,382.25 = 8,382.25/x
  3. Step 3: Cross multiply
    3,883.75x = 8,382.25 × 8,382.25
  4. Step 4: Simplify right side
    3,883.75x = 70,262,115.06
  5. Step 5: Solve for x
    x = 70,262,115.06/3,883.75
  6. Step 6: Final answer
    x = 18,091.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.