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Finding the Third Proportional to 27,018 and 71,163

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Solution

The third proportional to 27,018 and 71,163 is: 187,436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,018 : 71,163 = 71,163 : x
  2. Step 2: Convert to fraction form
    27,018/71,163 = 71,163/x
  3. Step 3: Cross multiply
    27,018x = 71,163 × 71,163
  4. Step 4: Simplify right side
    27,018x = 5,064,172,569
  5. Step 5: Solve for x
    x = 5,064,172,569/27,018
  6. Step 6: Final answer
    x = 187,436.99

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.