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Finding the Third Proportional to 19,500 and 27,884

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Solution

The third proportional to 19,500 and 27,884 is: 39,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,500 : 27,884 = 27,884 : x
  2. Step 2: Convert to fraction form
    19,500/27,884 = 27,884/x
  3. Step 3: Cross multiply
    19,500x = 27,884 × 27,884
  4. Step 4: Simplify right side
    19,500x = 777,517,456
  5. Step 5: Solve for x
    x = 777,517,456/19,500
  6. Step 6: Final answer
    x = 39,872.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.