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Finding the Third Proportional to 5,968 and 12,704

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Solution

The third proportional to 5,968 and 12,704 is: 27,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968 : 12,704 = 12,704 : x
  2. Step 2: Convert to fraction form
    5,968/12,704 = 12,704/x
  3. Step 3: Cross multiply
    5,968x = 12,704 × 12,704
  4. Step 4: Simplify right side
    5,968x = 161,391,616
  5. Step 5: Solve for x
    x = 161,391,616/5,968
  6. Step 6: Final answer
    x = 27,042.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.