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Finding the Third Proportional to 16,665 and 33,694.50

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Solution

The third proportional to 16,665 and 33,694.50 is: 68,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,665 : 33,694.50 = 33,694.50 : x
  2. Step 2: Convert to fraction form
    16,665/33,694.50 = 33,694.50/x
  3. Step 3: Cross multiply
    16,665x = 33,694.50 × 33,694.50
  4. Step 4: Simplify right side
    16,665x = 1,135,319,330.25
  5. Step 5: Solve for x
    x = 1,135,319,330.25/16,665
  6. Step 6: Final answer
    x = 68,125.97

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.