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Finding the Third Proportional to 25,067 and 38,002

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Solution

The third proportional to 25,067 and 38,002 is: 57,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,067 : 38,002 = 38,002 : x
  2. Step 2: Convert to fraction form
    25,067/38,002 = 38,002/x
  3. Step 3: Cross multiply
    25,067x = 38,002 × 38,002
  4. Step 4: Simplify right side
    25,067x = 1,444,152,004
  5. Step 5: Solve for x
    x = 1,444,152,004/25,067
  6. Step 6: Final answer
    x = 57,611.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.