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Finding the Third Proportional to 2,004 and 3,878

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Solution

The third proportional to 2,004 and 3,878 is: 7,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004 : 3,878 = 3,878 : x
  2. Step 2: Convert to fraction form
    2,004/3,878 = 3,878/x
  3. Step 3: Cross multiply
    2,004x = 3,878 × 3,878
  4. Step 4: Simplify right side
    2,004x = 15,038,884
  5. Step 5: Solve for x
    x = 15,038,884/2,004
  6. Step 6: Final answer
    x = 7,504.43

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.