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Finding the Third Proportional to 16,285 and 33,433

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Solution

The third proportional to 16,285 and 33,433 is: 68,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285 : 33,433 = 33,433 : x
  2. Step 2: Convert to fraction form
    16,285/33,433 = 33,433/x
  3. Step 3: Cross multiply
    16,285x = 33,433 × 33,433
  4. Step 4: Simplify right side
    16,285x = 1,117,765,489
  5. Step 5: Solve for x
    x = 1,117,765,489/16,285
  6. Step 6: Final answer
    x = 68,637.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.