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Finding the Third Proportional to 2,004 and 2,749

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Solution

The third proportional to 2,004 and 2,749 is: 3,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004 : 2,749 = 2,749 : x
  2. Step 2: Convert to fraction form
    2,004/2,749 = 2,749/x
  3. Step 3: Cross multiply
    2,004x = 2,749 × 2,749
  4. Step 4: Simplify right side
    2,004x = 7,557,001
  5. Step 5: Solve for x
    x = 7,557,001/2,004
  6. Step 6: Final answer
    x = 3,770.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.