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Finding the Third Proportional to 8,032 and 16,424

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Solution

The third proportional to 8,032 and 16,424 is: 33,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032 : 16,424 = 16,424 : x
  2. Step 2: Convert to fraction form
    8,032/16,424 = 16,424/x
  3. Step 3: Cross multiply
    8,032x = 16,424 × 16,424
  4. Step 4: Simplify right side
    8,032x = 269,747,776
  5. Step 5: Solve for x
    x = 269,747,776/8,032
  6. Step 6: Final answer
    x = 33,584.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.