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Finding the Third Proportional to 2,634.40 and 5,512.27

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Solution

The third proportional to 2,634.40 and 5,512.27 is: 11,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.40 : 5,512.27 = 5,512.27 : x
  2. Step 2: Convert to fraction form
    2,634.40/5,512.27 = 5,512.27/x
  3. Step 3: Cross multiply
    2,634.40x = 5,512.27 × 5,512.27
  4. Step 4: Simplify right side
    2,634.40x = 30,385,136.92
  5. Step 5: Solve for x
    x = 30,385,136.92/2,634.40
  6. Step 6: Final answer
    x = 11,533.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.