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Finding the Third Proportional to 11,600.44 and 25,283.44

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Solution

The third proportional to 11,600.44 and 25,283.44 is: 55,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.44 : 25,283.44 = 25,283.44 : x
  2. Step 2: Convert to fraction form
    11,600.44/25,283.44 = 25,283.44/x
  3. Step 3: Cross multiply
    11,600.44x = 25,283.44 × 25,283.44
  4. Step 4: Simplify right side
    11,600.44x = 639,252,211.82
  5. Step 5: Solve for x
    x = 639,252,211.82/11,600.44
  6. Step 6: Final answer
    x = 55,105.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.