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Finding the Third Proportional to 2,611.49 and 5,716.42

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Solution

The third proportional to 2,611.49 and 5,716.42 is: 12,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.49 : 5,716.42 = 5,716.42 : x
  2. Step 2: Convert to fraction form
    2,611.49/5,716.42 = 5,716.42/x
  3. Step 3: Cross multiply
    2,611.49x = 5,716.42 × 5,716.42
  4. Step 4: Simplify right side
    2,611.49x = 32,677,479.05
  5. Step 5: Solve for x
    x = 32,677,479.05/2,611.49
  6. Step 6: Final answer
    x = 12,512.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.