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Finding the Third Proportional to 11,727 and 27,684

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Solution

The third proportional to 11,727 and 27,684 is: 65,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727 : 27,684 = 27,684 : x
  2. Step 2: Convert to fraction form
    11,727/27,684 = 27,684/x
  3. Step 3: Cross multiply
    11,727x = 27,684 × 27,684
  4. Step 4: Simplify right side
    11,727x = 766,403,856
  5. Step 5: Solve for x
    x = 766,403,856/11,727
  6. Step 6: Final answer
    x = 65,353.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.