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Finding the Third Proportional to 11,193 and 24,616.50

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Solution

The third proportional to 11,193 and 24,616.50 is: 54,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193 : 24,616.50 = 24,616.50 : x
  2. Step 2: Convert to fraction form
    11,193/24,616.50 = 24,616.50/x
  3. Step 3: Cross multiply
    11,193x = 24,616.50 × 24,616.50
  4. Step 4: Simplify right side
    11,193x = 605,972,072.25
  5. Step 5: Solve for x
    x = 605,972,072.25/11,193
  6. Step 6: Final answer
    x = 54,138.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.