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Finding the Third Proportional to 2,234 and 5,174

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Solution

The third proportional to 2,234 and 5,174 is: 11,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234 : 5,174 = 5,174 : x
  2. Step 2: Convert to fraction form
    2,234/5,174 = 5,174/x
  3. Step 3: Cross multiply
    2,234x = 5,174 × 5,174
  4. Step 4: Simplify right side
    2,234x = 26,770,276
  5. Step 5: Solve for x
    x = 26,770,276/2,234
  6. Step 6: Final answer
    x = 11,983.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.