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Finding the Third Proportional to 17,753 and 38,273

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Solution

The third proportional to 17,753 and 38,273 is: 82,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,753 : 38,273 = 38,273 : x
  2. Step 2: Convert to fraction form
    17,753/38,273 = 38,273/x
  3. Step 3: Cross multiply
    17,753x = 38,273 × 38,273
  4. Step 4: Simplify right side
    17,753x = 1,464,822,529
  5. Step 5: Solve for x
    x = 1,464,822,529/17,753
  6. Step 6: Final answer
    x = 82,511.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.