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Finding the Third Proportional to 19,206 and 27,009

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Solution

The third proportional to 19,206 and 27,009 is: 37,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206 : 27,009 = 27,009 : x
  2. Step 2: Convert to fraction form
    19,206/27,009 = 27,009/x
  3. Step 3: Cross multiply
    19,206x = 27,009 × 27,009
  4. Step 4: Simplify right side
    19,206x = 729,486,081
  5. Step 5: Solve for x
    x = 729,486,081/19,206
  6. Step 6: Final answer
    x = 37,982.20

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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.