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Finding the Third Proportional to 5,756 and 12,512

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Solution

The third proportional to 5,756 and 12,512 is: 27,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756 : 12,512 = 12,512 : x
  2. Step 2: Convert to fraction form
    5,756/12,512 = 12,512/x
  3. Step 3: Cross multiply
    5,756x = 12,512 × 12,512
  4. Step 4: Simplify right side
    5,756x = 156,550,144
  5. Step 5: Solve for x
    x = 156,550,144/5,756
  6. Step 6: Final answer
    x = 27,197.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.