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Finding the Third Proportional to 16,690 and 33,841

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Solution

The third proportional to 16,690 and 33,841 is: 68,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,690 : 33,841 = 33,841 : x
  2. Step 2: Convert to fraction form
    16,690/33,841 = 33,841/x
  3. Step 3: Cross multiply
    16,690x = 33,841 × 33,841
  4. Step 4: Simplify right side
    16,690x = 1,145,213,281
  5. Step 5: Solve for x
    x = 1,145,213,281/16,690
  6. Step 6: Final answer
    x = 68,616.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.