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Finding the Third Proportional to 25,394 and 38,067

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Solution

The third proportional to 25,394 and 38,067 is: 57,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,394 : 38,067 = 38,067 : x
  2. Step 2: Convert to fraction form
    25,394/38,067 = 38,067/x
  3. Step 3: Cross multiply
    25,394x = 38,067 × 38,067
  4. Step 4: Simplify right side
    25,394x = 1,449,096,489
  5. Step 5: Solve for x
    x = 1,449,096,489/25,394
  6. Step 6: Final answer
    x = 57,064.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.