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Finding the Third Proportional to 11,678 and 27,317

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Solution

The third proportional to 11,678 and 27,317 is: 63,899.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678 : 27,317 = 27,317 : x
  2. Step 2: Convert to fraction form
    11,678/27,317 = 27,317/x
  3. Step 3: Cross multiply
    11,678x = 27,317 × 27,317
  4. Step 4: Simplify right side
    11,678x = 746,218,489
  5. Step 5: Solve for x
    x = 746,218,489/11,678
  6. Step 6: Final answer
    x = 63,899.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.