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Finding the Third Proportional to 2,161.69 and 3,851.30

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Solution

The third proportional to 2,161.69 and 3,851.30 is: 6,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.69 : 3,851.30 = 3,851.30 : x
  2. Step 2: Convert to fraction form
    2,161.69/3,851.30 = 3,851.30/x
  3. Step 3: Cross multiply
    2,161.69x = 3,851.30 × 3,851.30
  4. Step 4: Simplify right side
    2,161.69x = 14,832,487.62
  5. Step 5: Solve for x
    x = 14,832,487.62/2,161.69
  6. Step 6: Final answer
    x = 6,861.53

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.