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Finding the Third Proportional to 22,694 and 52,086

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Solution

The third proportional to 22,694 and 52,086 is: 119,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,694 : 52,086 = 52,086 : x
  2. Step 2: Convert to fraction form
    22,694/52,086 = 52,086/x
  3. Step 3: Cross multiply
    22,694x = 52,086 × 52,086
  4. Step 4: Simplify right side
    22,694x = 2,712,951,396
  5. Step 5: Solve for x
    x = 2,712,951,396/22,694
  6. Step 6: Final answer
    x = 119,544.88

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.