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Finding the Third Proportional to 15,884 and 34,204

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Solution

The third proportional to 15,884 and 34,204 is: 73,653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884 : 34,204 = 34,204 : x
  2. Step 2: Convert to fraction form
    15,884/34,204 = 34,204/x
  3. Step 3: Cross multiply
    15,884x = 34,204 × 34,204
  4. Step 4: Simplify right side
    15,884x = 1,169,913,616
  5. Step 5: Solve for x
    x = 1,169,913,616/15,884
  6. Step 6: Final answer
    x = 73,653.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.