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Finding the Third Proportional to 14,289 and 23,067

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Solution

The third proportional to 14,289 and 23,067 is: 37,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289 : 23,067 = 23,067 : x
  2. Step 2: Convert to fraction form
    14,289/23,067 = 23,067/x
  3. Step 3: Cross multiply
    14,289x = 23,067 × 23,067
  4. Step 4: Simplify right side
    14,289x = 532,086,489
  5. Step 5: Solve for x
    x = 532,086,489/14,289
  6. Step 6: Final answer
    x = 37,237.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.