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Finding the Third Proportional to 19,504 and 27,872

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Solution

The third proportional to 19,504 and 27,872 is: 39,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504 : 27,872 = 27,872 : x
  2. Step 2: Convert to fraction form
    19,504/27,872 = 27,872/x
  3. Step 3: Cross multiply
    19,504x = 27,872 × 27,872
  4. Step 4: Simplify right side
    19,504x = 776,848,384
  5. Step 5: Solve for x
    x = 776,848,384/19,504
  6. Step 6: Final answer
    x = 39,830.21

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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.