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Finding the Third Proportional to 3,234 and 4,384

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Solution

The third proportional to 3,234 and 4,384 is: 5,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234 : 4,384 = 4,384 : x
  2. Step 2: Convert to fraction form
    3,234/4,384 = 4,384/x
  3. Step 3: Cross multiply
    3,234x = 4,384 × 4,384
  4. Step 4: Simplify right side
    3,234x = 19,219,456
  5. Step 5: Solve for x
    x = 19,219,456/3,234
  6. Step 6: Final answer
    x = 5,942.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.