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Finding the Third Proportional to 6,794.51 and 11,171.36

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Solution

The third proportional to 6,794.51 and 11,171.36 is: 18,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.51 : 11,171.36 = 11,171.36 : x
  2. Step 2: Convert to fraction form
    6,794.51/11,171.36 = 11,171.36/x
  3. Step 3: Cross multiply
    6,794.51x = 11,171.36 × 11,171.36
  4. Step 4: Simplify right side
    6,794.51x = 124,799,183.01
  5. Step 5: Solve for x
    x = 124,799,183.01/6,794.51
  6. Step 6: Final answer
    x = 18,367.66

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.