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Finding the Third Proportional to 22,162 and 34,059

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Solution

The third proportional to 22,162 and 34,059 is: 52,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,162 : 34,059 = 34,059 : x
  2. Step 2: Convert to fraction form
    22,162/34,059 = 34,059/x
  3. Step 3: Cross multiply
    22,162x = 34,059 × 34,059
  4. Step 4: Simplify right side
    22,162x = 1,160,015,481
  5. Step 5: Solve for x
    x = 1,160,015,481/22,162
  6. Step 6: Final answer
    x = 52,342.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.