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Finding the Third Proportional to 3,025.69 and 6,825.09

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Solution

The third proportional to 3,025.69 and 6,825.09 is: 15,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.69 : 6,825.09 = 6,825.09 : x
  2. Step 2: Convert to fraction form
    3,025.69/6,825.09 = 6,825.09/x
  3. Step 3: Cross multiply
    3,025.69x = 6,825.09 × 6,825.09
  4. Step 4: Simplify right side
    3,025.69x = 46,581,904.70
  5. Step 5: Solve for x
    x = 46,581,904.70/3,025.69
  6. Step 6: Final answer
    x = 15,395.48

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.