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Finding the Third Proportional to 6,447.09 and 13,305.09

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Solution

The third proportional to 6,447.09 and 13,305.09 is: 27,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.09 : 13,305.09 = 13,305.09 : x
  2. Step 2: Convert to fraction form
    6,447.09/13,305.09 = 13,305.09/x
  3. Step 3: Cross multiply
    6,447.09x = 13,305.09 × 13,305.09
  4. Step 4: Simplify right side
    6,447.09x = 177,025,519.70
  5. Step 5: Solve for x
    x = 177,025,519.70/6,447.09
  6. Step 6: Final answer
    x = 27,458.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.