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Finding the Third Proportional to 3,251.06 and 7,671.94

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Solution

The third proportional to 3,251.06 and 7,671.94 is: 18,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.06 : 7,671.94 = 7,671.94 : x
  2. Step 2: Convert to fraction form
    3,251.06/7,671.94 = 7,671.94/x
  3. Step 3: Cross multiply
    3,251.06x = 7,671.94 × 7,671.94
  4. Step 4: Simplify right side
    3,251.06x = 58,858,625.00
  5. Step 5: Solve for x
    x = 58,858,625.00/3,251.06
  6. Step 6: Final answer
    x = 18,104.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.