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Finding the Third Proportional to 19,404 and 43,192

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Solution

The third proportional to 19,404 and 43,192 is: 96,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,404 : 43,192 = 43,192 : x
  2. Step 2: Convert to fraction form
    19,404/43,192 = 43,192/x
  3. Step 3: Cross multiply
    19,404x = 43,192 × 43,192
  4. Step 4: Simplify right side
    19,404x = 1,865,548,864
  5. Step 5: Solve for x
    x = 1,865,548,864/19,404
  6. Step 6: Final answer
    x = 96,142.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.