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Finding the Third Proportional to 19,809 and 27,162

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Solution

The third proportional to 19,809 and 27,162 is: 37,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809 : 27,162 = 27,162 : x
  2. Step 2: Convert to fraction form
    19,809/27,162 = 27,162/x
  3. Step 3: Cross multiply
    19,809x = 27,162 × 27,162
  4. Step 4: Simplify right side
    19,809x = 737,774,244
  5. Step 5: Solve for x
    x = 737,774,244/19,809
  6. Step 6: Final answer
    x = 37,244.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.