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Finding the Third Proportional to 11,919 and 18,902

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Solution

The third proportional to 11,919 and 18,902 is: 29,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919 : 18,902 = 18,902 : x
  2. Step 2: Convert to fraction form
    11,919/18,902 = 18,902/x
  3. Step 3: Cross multiply
    11,919x = 18,902 × 18,902
  4. Step 4: Simplify right side
    11,919x = 357,285,604
  5. Step 5: Solve for x
    x = 357,285,604/11,919
  6. Step 6: Final answer
    x = 29,976.14

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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.