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Finding the Third Proportional to 8,434 and 19,924

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Solution

The third proportional to 8,434 and 19,924 is: 47,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434 : 19,924 = 19,924 : x
  2. Step 2: Convert to fraction form
    8,434/19,924 = 19,924/x
  3. Step 3: Cross multiply
    8,434x = 19,924 × 19,924
  4. Step 4: Simplify right side
    8,434x = 396,965,776
  5. Step 5: Solve for x
    x = 396,965,776/8,434
  6. Step 6: Final answer
    x = 47,067.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.