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Finding the Third Proportional to 16,466 and 35,204

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Solution

The third proportional to 16,466 and 35,204 is: 75,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466 : 35,204 = 35,204 : x
  2. Step 2: Convert to fraction form
    16,466/35,204 = 35,204/x
  3. Step 3: Cross multiply
    16,466x = 35,204 × 35,204
  4. Step 4: Simplify right side
    16,466x = 1,239,321,616
  5. Step 5: Solve for x
    x = 1,239,321,616/16,466
  6. Step 6: Final answer
    x = 75,265.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.