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Finding the Third Proportional to 19,819 and 27,177

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Solution

The third proportional to 19,819 and 27,177 is: 37,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819 : 27,177 = 27,177 : x
  2. Step 2: Convert to fraction form
    19,819/27,177 = 27,177/x
  3. Step 3: Cross multiply
    19,819x = 27,177 × 27,177
  4. Step 4: Simplify right side
    19,819x = 738,589,329
  5. Step 5: Solve for x
    x = 738,589,329/19,819
  6. Step 6: Final answer
    x = 37,266.73

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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.