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Finding the Third Proportional to 3,207.09 and 6,893.44

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Solution

The third proportional to 3,207.09 and 6,893.44 is: 14,816.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.09 : 6,893.44 = 6,893.44 : x
  2. Step 2: Convert to fraction form
    3,207.09/6,893.44 = 6,893.44/x
  3. Step 3: Cross multiply
    3,207.09x = 6,893.44 × 6,893.44
  4. Step 4: Simplify right side
    3,207.09x = 47,519,480.57
  5. Step 5: Solve for x
    x = 47,519,480.57/3,207.09
  6. Step 6: Final answer
    x = 14,816.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.