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Finding the Third Proportional to 3,092 and 7,234

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Solution

The third proportional to 3,092 and 7,234 is: 16,924.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092 : 7,234 = 7,234 : x
  2. Step 2: Convert to fraction form
    3,092/7,234 = 7,234/x
  3. Step 3: Cross multiply
    3,092x = 7,234 × 7,234
  4. Step 4: Simplify right side
    3,092x = 52,330,756
  5. Step 5: Solve for x
    x = 52,330,756/3,092
  6. Step 6: Final answer
    x = 16,924.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.