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Finding the Third Proportional to 6,481.69 and 8,305.03

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Solution

The third proportional to 6,481.69 and 8,305.03 is: 10,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.69 : 8,305.03 = 8,305.03 : x
  2. Step 2: Convert to fraction form
    6,481.69/8,305.03 = 8,305.03/x
  3. Step 3: Cross multiply
    6,481.69x = 8,305.03 × 8,305.03
  4. Step 4: Simplify right side
    6,481.69x = 68,973,544.06
  5. Step 5: Solve for x
    x = 68,973,544.06/6,481.69
  6. Step 6: Final answer
    x = 10,641.29

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.