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Finding the Third Proportional to 27,571 and 62,893

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Solution

The third proportional to 27,571 and 62,893 is: 143,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,571 : 62,893 = 62,893 : x
  2. Step 2: Convert to fraction form
    27,571/62,893 = 62,893/x
  3. Step 3: Cross multiply
    27,571x = 62,893 × 62,893
  4. Step 4: Simplify right side
    27,571x = 3,955,529,449
  5. Step 5: Solve for x
    x = 3,955,529,449/27,571
  6. Step 6: Final answer
    x = 143,467.03

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.