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Finding the Third Proportional to 2,961.56 and 6,076.90

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Solution

The third proportional to 2,961.56 and 6,076.90 is: 12,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.56 : 6,076.90 = 6,076.90 : x
  2. Step 2: Convert to fraction form
    2,961.56/6,076.90 = 6,076.90/x
  3. Step 3: Cross multiply
    2,961.56x = 6,076.90 × 6,076.90
  4. Step 4: Simplify right side
    2,961.56x = 36,928,694.62
  5. Step 5: Solve for x
    x = 36,928,694.62/2,961.56
  6. Step 6: Final answer
    x = 12,469.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.