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Finding the Third Proportional to 11,790 and 27,927

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Solution

The third proportional to 11,790 and 27,927 is: 66,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790 : 27,927 = 27,927 : x
  2. Step 2: Convert to fraction form
    11,790/27,927 = 27,927/x
  3. Step 3: Cross multiply
    11,790x = 27,927 × 27,927
  4. Step 4: Simplify right side
    11,790x = 779,917,329
  5. Step 5: Solve for x
    x = 779,917,329/11,790
  6. Step 6: Final answer
    x = 66,150.75

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.