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Finding the Third Proportional to 5,972 and 12,884

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Solution

The third proportional to 5,972 and 12,884 is: 27,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972 : 12,884 = 12,884 : x
  2. Step 2: Convert to fraction form
    5,972/12,884 = 12,884/x
  3. Step 3: Cross multiply
    5,972x = 12,884 × 12,884
  4. Step 4: Simplify right side
    5,972x = 165,997,456
  5. Step 5: Solve for x
    x = 165,997,456/5,972
  6. Step 6: Final answer
    x = 27,795.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.