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Finding the Third Proportional to 3,819.66 and 8,168.34

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Solution

The third proportional to 3,819.66 and 8,168.34 is: 17,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.66 : 8,168.34 = 8,168.34 : x
  2. Step 2: Convert to fraction form
    3,819.66/8,168.34 = 8,168.34/x
  3. Step 3: Cross multiply
    3,819.66x = 8,168.34 × 8,168.34
  4. Step 4: Simplify right side
    3,819.66x = 66,721,839.62
  5. Step 5: Solve for x
    x = 66,721,839.62/3,819.66
  6. Step 6: Final answer
    x = 17,468.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.