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Finding the Third Proportional to 3,821.75 and 8,103.25

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Solution

The third proportional to 3,821.75 and 8,103.25 is: 17,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.75 : 8,103.25 = 8,103.25 : x
  2. Step 2: Convert to fraction form
    3,821.75/8,103.25 = 8,103.25/x
  3. Step 3: Cross multiply
    3,821.75x = 8,103.25 × 8,103.25
  4. Step 4: Simplify right side
    3,821.75x = 65,662,660.56
  5. Step 5: Solve for x
    x = 65,662,660.56/3,821.75
  6. Step 6: Final answer
    x = 17,181.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.