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Finding the Third Proportional to 3,829.69 and 8,010.19

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Solution

The third proportional to 3,829.69 and 8,010.19 is: 16,754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.69 : 8,010.19 = 8,010.19 : x
  2. Step 2: Convert to fraction form
    3,829.69/8,010.19 = 8,010.19/x
  3. Step 3: Cross multiply
    3,829.69x = 8,010.19 × 8,010.19
  4. Step 4: Simplify right side
    3,829.69x = 64,163,103.79
  5. Step 5: Solve for x
    x = 64,163,103.79/3,829.69
  6. Step 6: Final answer
    x = 16,754.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.