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Finding the Third Proportional to 19,847 and 27,293

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Solution

The third proportional to 19,847 and 27,293 is: 37,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847 : 27,293 = 27,293 : x
  2. Step 2: Convert to fraction form
    19,847/27,293 = 27,293/x
  3. Step 3: Cross multiply
    19,847x = 27,293 × 27,293
  4. Step 4: Simplify right side
    19,847x = 744,907,849
  5. Step 5: Solve for x
    x = 744,907,849/19,847
  6. Step 6: Final answer
    x = 37,532.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.