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Finding the Third Proportional to 19,564 and 27,874

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Solution

The third proportional to 19,564 and 27,874 is: 39,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564 : 27,874 = 27,874 : x
  2. Step 2: Convert to fraction form
    19,564/27,874 = 27,874/x
  3. Step 3: Cross multiply
    19,564x = 27,874 × 27,874
  4. Step 4: Simplify right side
    19,564x = 776,959,876
  5. Step 5: Solve for x
    x = 776,959,876/19,564
  6. Step 6: Final answer
    x = 39,713.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.