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Finding the Third Proportional to 3,000.75 and 7,007.44

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Solution

The third proportional to 3,000.75 and 7,007.44 is: 16,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.75 : 7,007.44 = 7,007.44 : x
  2. Step 2: Convert to fraction form
    3,000.75/7,007.44 = 7,007.44/x
  3. Step 3: Cross multiply
    3,000.75x = 7,007.44 × 7,007.44
  4. Step 4: Simplify right side
    3,000.75x = 49,104,180.32
  5. Step 5: Solve for x
    x = 49,104,180.32/3,000.75
  6. Step 6: Final answer
    x = 16,363.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.