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Finding the Third Proportional to 3,512 and 6,116

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Solution

The third proportional to 3,512 and 6,116 is: 10,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512 : 6,116 = 6,116 : x
  2. Step 2: Convert to fraction form
    3,512/6,116 = 6,116/x
  3. Step 3: Cross multiply
    3,512x = 6,116 × 6,116
  4. Step 4: Simplify right side
    3,512x = 37,405,456
  5. Step 5: Solve for x
    x = 37,405,456/3,512
  6. Step 6: Final answer
    x = 10,650.76

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.