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Finding the Third Proportional to 10,124 and 19,192

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Solution

The third proportional to 10,124 and 19,192 is: 36,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124 : 19,192 = 19,192 : x
  2. Step 2: Convert to fraction form
    10,124/19,192 = 19,192/x
  3. Step 3: Cross multiply
    10,124x = 19,192 × 19,192
  4. Step 4: Simplify right side
    10,124x = 368,332,864
  5. Step 5: Solve for x
    x = 368,332,864/10,124
  6. Step 6: Final answer
    x = 36,382.15

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.