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Finding the Third Proportional to 23,067 and 49,670

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Solution

The third proportional to 23,067 and 49,670 is: 106,954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,067 : 49,670 = 49,670 : x
  2. Step 2: Convert to fraction form
    23,067/49,670 = 49,670/x
  3. Step 3: Cross multiply
    23,067x = 49,670 × 49,670
  4. Step 4: Simplify right side
    23,067x = 2,467,108,900
  5. Step 5: Solve for x
    x = 2,467,108,900/23,067
  6. Step 6: Final answer
    x = 106,954.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.