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Finding the Third Proportional to 7,622 and 12,092

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Solution

The third proportional to 7,622 and 12,092 is: 19,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622 : 12,092 = 12,092 : x
  2. Step 2: Convert to fraction form
    7,622/12,092 = 12,092/x
  3. Step 3: Cross multiply
    7,622x = 12,092 × 12,092
  4. Step 4: Simplify right side
    7,622x = 146,216,464
  5. Step 5: Solve for x
    x = 146,216,464/7,622
  6. Step 6: Final answer
    x = 19,183.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.