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Finding the Third Proportional to 6,799.25 and 10,394.26

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Solution

The third proportional to 6,799.25 and 10,394.26 is: 15,890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.25 : 10,394.26 = 10,394.26 : x
  2. Step 2: Convert to fraction form
    6,799.25/10,394.26 = 10,394.26/x
  3. Step 3: Cross multiply
    6,799.25x = 10,394.26 × 10,394.26
  4. Step 4: Simplify right side
    6,799.25x = 108,040,676.68
  5. Step 5: Solve for x
    x = 108,040,676.68/6,799.25
  6. Step 6: Final answer
    x = 15,890.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.