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Finding the Third Proportional to 3,213.28 and 6,835.78

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Solution

The third proportional to 3,213.28 and 6,835.78 is: 14,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.28 : 6,835.78 = 6,835.78 : x
  2. Step 2: Convert to fraction form
    3,213.28/6,835.78 = 6,835.78/x
  3. Step 3: Cross multiply
    3,213.28x = 6,835.78 × 6,835.78
  4. Step 4: Simplify right side
    3,213.28x = 46,727,905.30
  5. Step 5: Solve for x
    x = 46,727,905.30/3,213.28
  6. Step 6: Final answer
    x = 14,542.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.