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Finding the Third Proportional to 6,891.75 and 9,102.38

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Solution

The third proportional to 6,891.75 and 9,102.38 is: 12,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.75 : 9,102.38 = 9,102.38 : x
  2. Step 2: Convert to fraction form
    6,891.75/9,102.38 = 9,102.38/x
  3. Step 3: Cross multiply
    6,891.75x = 9,102.38 × 9,102.38
  4. Step 4: Simplify right side
    6,891.75x = 82,853,230.64
  5. Step 5: Solve for x
    x = 82,853,230.64/6,891.75
  6. Step 6: Final answer
    x = 12,022.09

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.