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Finding the Third Proportional to 3,285.56 and 6,912.84

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Solution

The third proportional to 3,285.56 and 6,912.84 is: 14,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.56 : 6,912.84 = 6,912.84 : x
  2. Step 2: Convert to fraction form
    3,285.56/6,912.84 = 6,912.84/x
  3. Step 3: Cross multiply
    3,285.56x = 6,912.84 × 6,912.84
  4. Step 4: Simplify right side
    3,285.56x = 47,787,408.71
  5. Step 5: Solve for x
    x = 47,787,408.71/3,285.56
  6. Step 6: Final answer
    x = 14,544.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.