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Finding the Third Proportional to 27,977 and 62,170

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Solution

The third proportional to 27,977 and 62,170 is: 138,153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,977 : 62,170 = 62,170 : x
  2. Step 2: Convert to fraction form
    27,977/62,170 = 62,170/x
  3. Step 3: Cross multiply
    27,977x = 62,170 × 62,170
  4. Step 4: Simplify right side
    27,977x = 3,865,108,900
  5. Step 5: Solve for x
    x = 3,865,108,900/27,977
  6. Step 6: Final answer
    x = 138,153.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.