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Finding the Third Proportional to 3,850.88 and 8,276.77

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Solution

The third proportional to 3,850.88 and 8,276.77 is: 17,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.88 : 8,276.77 = 8,276.77 : x
  2. Step 2: Convert to fraction form
    3,850.88/8,276.77 = 8,276.77/x
  3. Step 3: Cross multiply
    3,850.88x = 8,276.77 × 8,276.77
  4. Step 4: Simplify right side
    3,850.88x = 68,504,849.21
  5. Step 5: Solve for x
    x = 68,504,849.21/3,850.88
  6. Step 6: Final answer
    x = 17,789.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.