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Finding the Third Proportional to 3,025.69 and 5,808.38

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Solution

The third proportional to 3,025.69 and 5,808.38 is: 11,150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.69 : 5,808.38 = 5,808.38 : x
  2. Step 2: Convert to fraction form
    3,025.69/5,808.38 = 5,808.38/x
  3. Step 3: Cross multiply
    3,025.69x = 5,808.38 × 5,808.38
  4. Step 4: Simplify right side
    3,025.69x = 33,737,220.14
  5. Step 5: Solve for x
    x = 33,737,220.14/3,025.69
  6. Step 6: Final answer
    x = 11,150.27

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.