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Finding the Third Proportional to 12,296 and 19,092

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Solution

The third proportional to 12,296 and 19,092 is: 29,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296 : 19,092 = 19,092 : x
  2. Step 2: Convert to fraction form
    12,296/19,092 = 19,092/x
  3. Step 3: Cross multiply
    12,296x = 19,092 × 19,092
  4. Step 4: Simplify right side
    12,296x = 364,504,464
  5. Step 5: Solve for x
    x = 364,504,464/12,296
  6. Step 6: Final answer
    x = 29,644.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.