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Finding the Third Proportional to 11,477.25 and 24,704.75

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Solution

The third proportional to 11,477.25 and 24,704.75 is: 53,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.25 : 24,704.75 = 24,704.75 : x
  2. Step 2: Convert to fraction form
    11,477.25/24,704.75 = 24,704.75/x
  3. Step 3: Cross multiply
    11,477.25x = 24,704.75 × 24,704.75
  4. Step 4: Simplify right side
    11,477.25x = 610,324,672.56
  5. Step 5: Solve for x
    x = 610,324,672.56/11,477.25
  6. Step 6: Final answer
    x = 53,176.91

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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.