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Finding the Third Proportional to 11,511.75 and 25,443.75

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Solution

The third proportional to 11,511.75 and 25,443.75 is: 56,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.75 : 25,443.75 = 25,443.75 : x
  2. Step 2: Convert to fraction form
    11,511.75/25,443.75 = 25,443.75/x
  3. Step 3: Cross multiply
    11,511.75x = 25,443.75 × 25,443.75
  4. Step 4: Simplify right side
    11,511.75x = 647,384,414.06
  5. Step 5: Solve for x
    x = 647,384,414.06/11,511.75
  6. Step 6: Final answer
    x = 56,236.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.