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Finding the Third Proportional to 3,025.69 and 6,441.19

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Solution

The third proportional to 3,025.69 and 6,441.19 is: 13,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.69 : 6,441.19 = 6,441.19 : x
  2. Step 2: Convert to fraction form
    3,025.69/6,441.19 = 6,441.19/x
  3. Step 3: Cross multiply
    3,025.69x = 6,441.19 × 6,441.19
  4. Step 4: Simplify right side
    3,025.69x = 41,488,896.41
  5. Step 5: Solve for x
    x = 41,488,896.41/3,025.69
  6. Step 6: Final answer
    x = 13,712.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.