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Finding the Third Proportional to 11,680 and 24,192

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Solution

The third proportional to 11,680 and 24,192 is: 50,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680 : 24,192 = 24,192 : x
  2. Step 2: Convert to fraction form
    11,680/24,192 = 24,192/x
  3. Step 3: Cross multiply
    11,680x = 24,192 × 24,192
  4. Step 4: Simplify right side
    11,680x = 585,252,864
  5. Step 5: Solve for x
    x = 585,252,864/11,680
  6. Step 6: Final answer
    x = 50,107.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.