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Finding the Third Proportional to 3,025.69 and 3,302.44

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Solution

The third proportional to 3,025.69 and 3,302.44 is: 3,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.69 : 3,302.44 = 3,302.44 : x
  2. Step 2: Convert to fraction form
    3,025.69/3,302.44 = 3,302.44/x
  3. Step 3: Cross multiply
    3,025.69x = 3,302.44 × 3,302.44
  4. Step 4: Simplify right side
    3,025.69x = 10,906,093.44
  5. Step 5: Solve for x
    x = 10,906,093.44/3,025.69
  6. Step 6: Final answer
    x = 3,604.50

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.