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Finding the Third Proportional to 19,194 and 27,006

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Solution

The third proportional to 19,194 and 27,006 is: 37,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,194 : 27,006 = 27,006 : x
  2. Step 2: Convert to fraction form
    19,194/27,006 = 27,006/x
  3. Step 3: Cross multiply
    19,194x = 27,006 × 27,006
  4. Step 4: Simplify right side
    19,194x = 729,324,036
  5. Step 5: Solve for x
    x = 729,324,036/19,194
  6. Step 6: Final answer
    x = 37,997.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.