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Finding the Third Proportional to 3,204.35 and 6,663.94

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Solution

The third proportional to 3,204.35 and 6,663.94 is: 13,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.35 : 6,663.94 = 6,663.94 : x
  2. Step 2: Convert to fraction form
    3,204.35/6,663.94 = 6,663.94/x
  3. Step 3: Cross multiply
    3,204.35x = 6,663.94 × 6,663.94
  4. Step 4: Simplify right side
    3,204.35x = 44,408,063.00
  5. Step 5: Solve for x
    x = 44,408,063.00/3,204.35
  6. Step 6: Final answer
    x = 13,858.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.