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Finding the Third Proportional to 8,074.69 and 16,367.06

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Solution

The third proportional to 8,074.69 and 16,367.06 is: 33,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.69 : 16,367.06 = 16,367.06 : x
  2. Step 2: Convert to fraction form
    8,074.69/16,367.06 = 16,367.06/x
  3. Step 3: Cross multiply
    8,074.69x = 16,367.06 × 16,367.06
  4. Step 4: Simplify right side
    8,074.69x = 267,880,734.88
  5. Step 5: Solve for x
    x = 267,880,734.88/8,074.69
  6. Step 6: Final answer
    x = 33,175.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.