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Finding the Third Proportional to 19,829 and 27,191

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Solution

The third proportional to 19,829 and 27,191 is: 37,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829 : 27,191 = 27,191 : x
  2. Step 2: Convert to fraction form
    19,829/27,191 = 27,191/x
  3. Step 3: Cross multiply
    19,829x = 27,191 × 27,191
  4. Step 4: Simplify right side
    19,829x = 739,350,481
  5. Step 5: Solve for x
    x = 739,350,481/19,829
  6. Step 6: Final answer
    x = 37,286.32

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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.