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Finding the Third Proportional to 11,193.75 and 24,027.75

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Solution

The third proportional to 11,193.75 and 24,027.75 is: 51,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.75 : 24,027.75 = 24,027.75 : x
  2. Step 2: Convert to fraction form
    11,193.75/24,027.75 = 24,027.75/x
  3. Step 3: Cross multiply
    11,193.75x = 24,027.75 × 24,027.75
  4. Step 4: Simplify right side
    11,193.75x = 577,332,770.06
  5. Step 5: Solve for x
    x = 577,332,770.06/11,193.75
  6. Step 6: Final answer
    x = 51,576.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.