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Finding the Third Proportional to 8,267.25 and 11,817.25

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Solution

The third proportional to 8,267.25 and 11,817.25 is: 16,891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.25 : 11,817.25 = 11,817.25 : x
  2. Step 2: Convert to fraction form
    8,267.25/11,817.25 = 11,817.25/x
  3. Step 3: Cross multiply
    8,267.25x = 11,817.25 × 11,817.25
  4. Step 4: Simplify right side
    8,267.25x = 139,647,397.56
  5. Step 5: Solve for x
    x = 139,647,397.56/8,267.25
  6. Step 6: Final answer
    x = 16,891.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.