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Finding the Third Proportional to 11,616.75 and 24,738.75

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Solution

The third proportional to 11,616.75 and 24,738.75 is: 52,683.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.75 : 24,738.75 = 24,738.75 : x
  2. Step 2: Convert to fraction form
    11,616.75/24,738.75 = 24,738.75/x
  3. Step 3: Cross multiply
    11,616.75x = 24,738.75 × 24,738.75
  4. Step 4: Simplify right side
    11,616.75x = 612,005,751.56
  5. Step 5: Solve for x
    x = 612,005,751.56/11,616.75
  6. Step 6: Final answer
    x = 52,683.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.