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Finding the Third Proportional to 17,977 and 27,217

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Solution

The third proportional to 17,977 and 27,217 is: 41,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977 : 27,217 = 27,217 : x
  2. Step 2: Convert to fraction form
    17,977/27,217 = 27,217/x
  3. Step 3: Cross multiply
    17,977x = 27,217 × 27,217
  4. Step 4: Simplify right side
    17,977x = 740,765,089
  5. Step 5: Solve for x
    x = 740,765,089/17,977
  6. Step 6: Final answer
    x = 41,206.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.