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Finding the Third Proportional to 2,899 and 6,116

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Solution

The third proportional to 2,899 and 6,116 is: 12,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899 : 6,116 = 6,116 : x
  2. Step 2: Convert to fraction form
    2,899/6,116 = 6,116/x
  3. Step 3: Cross multiply
    2,899x = 6,116 × 6,116
  4. Step 4: Simplify right side
    2,899x = 37,405,456
  5. Step 5: Solve for x
    x = 37,405,456/2,899
  6. Step 6: Final answer
    x = 12,902.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.