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Finding the Third Proportional to 24,261 and 52,067

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Solution

The third proportional to 24,261 and 52,067 is: 111,741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,261 : 52,067 = 52,067 : x
  2. Step 2: Convert to fraction form
    24,261/52,067 = 52,067/x
  3. Step 3: Cross multiply
    24,261x = 52,067 × 52,067
  4. Step 4: Simplify right side
    24,261x = 2,710,972,489
  5. Step 5: Solve for x
    x = 2,710,972,489/24,261
  6. Step 6: Final answer
    x = 111,741.99

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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.