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Finding the Third Proportional to 2,889.42 and 6,099.68

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Solution

The third proportional to 2,889.42 and 6,099.68 is: 12,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.42 : 6,099.68 = 6,099.68 : x
  2. Step 2: Convert to fraction form
    2,889.42/6,099.68 = 6,099.68/x
  3. Step 3: Cross multiply
    2,889.42x = 6,099.68 × 6,099.68
  4. Step 4: Simplify right side
    2,889.42x = 37,206,092.29
  5. Step 5: Solve for x
    x = 37,206,092.29/2,889.42
  6. Step 6: Final answer
    x = 12,876.66

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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.