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Finding the Third Proportional to 3,276.56 and 6,912.56

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Solution

The third proportional to 3,276.56 and 6,912.56 is: 14,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.56 : 6,912.56 = 6,912.56 : x
  2. Step 2: Convert to fraction form
    3,276.56/6,912.56 = 6,912.56/x
  3. Step 3: Cross multiply
    3,276.56x = 6,912.56 × 6,912.56
  4. Step 4: Simplify right side
    3,276.56x = 47,783,520.32
  5. Step 5: Solve for x
    x = 47,783,520.32/3,276.56
  6. Step 6: Final answer
    x = 14,583.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.