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Finding the Third Proportional to 17,738 and 27,287

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Solution

The third proportional to 17,738 and 27,287 is: 41,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738 : 27,287 = 27,287 : x
  2. Step 2: Convert to fraction form
    17,738/27,287 = 27,287/x
  3. Step 3: Cross multiply
    17,738x = 27,287 × 27,287
  4. Step 4: Simplify right side
    17,738x = 744,580,369
  5. Step 5: Solve for x
    x = 744,580,369/17,738
  6. Step 6: Final answer
    x = 41,976.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.