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Finding the Third Proportional to 17,908.50 and 27,273

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Solution

The third proportional to 17,908.50 and 27,273 is: 41,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,908.50 : 27,273 = 27,273 : x
  2. Step 2: Convert to fraction form
    17,908.50/27,273 = 27,273/x
  3. Step 3: Cross multiply
    17,908.50x = 27,273 × 27,273
  4. Step 4: Simplify right side
    17,908.50x = 743,816,529
  5. Step 5: Solve for x
    x = 743,816,529/17,908.50
  6. Step 6: Final answer
    x = 41,534.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.