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Finding the Third Proportional to 6,908.63 and 9,186.75

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Solution

The third proportional to 6,908.63 and 9,186.75 is: 12,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.63 : 9,186.75 = 9,186.75 : x
  2. Step 2: Convert to fraction form
    6,908.63/9,186.75 = 9,186.75/x
  3. Step 3: Cross multiply
    6,908.63x = 9,186.75 × 9,186.75
  4. Step 4: Simplify right side
    6,908.63x = 84,396,375.56
  5. Step 5: Solve for x
    x = 84,396,375.56/6,908.63
  6. Step 6: Final answer
    x = 12,216.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.