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Finding the Third Proportional to 2,591.06 and 5,496.94

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Solution

The third proportional to 2,591.06 and 5,496.94 is: 11,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.06 : 5,496.94 = 5,496.94 : x
  2. Step 2: Convert to fraction form
    2,591.06/5,496.94 = 5,496.94/x
  3. Step 3: Cross multiply
    2,591.06x = 5,496.94 × 5,496.94
  4. Step 4: Simplify right side
    2,591.06x = 30,216,321.88
  5. Step 5: Solve for x
    x = 30,216,321.88/2,591.06
  6. Step 6: Final answer
    x = 11,661.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.