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Finding the Third Proportional to 20,191 and 30,992

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Solution

The third proportional to 20,191 and 30,992 is: 47,570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,191 : 30,992 = 30,992 : x
  2. Step 2: Convert to fraction form
    20,191/30,992 = 30,992/x
  3. Step 3: Cross multiply
    20,191x = 30,992 × 30,992
  4. Step 4: Simplify right side
    20,191x = 960,504,064
  5. Step 5: Solve for x
    x = 960,504,064/20,191
  6. Step 6: Final answer
    x = 47,570.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.