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Finding the Third Proportional to 2,174 and 3,839

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Solution

The third proportional to 2,174 and 3,839 is: 6,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174 : 3,839 = 3,839 : x
  2. Step 2: Convert to fraction form
    2,174/3,839 = 3,839/x
  3. Step 3: Cross multiply
    2,174x = 3,839 × 3,839
  4. Step 4: Simplify right side
    2,174x = 14,737,921
  5. Step 5: Solve for x
    x = 14,737,921/2,174
  6. Step 6: Final answer
    x = 6,779.17

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.