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Finding the Third Proportional to 24,256 and 36,474

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Solution

The third proportional to 24,256 and 36,474 is: 54,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,256 : 36,474 = 36,474 : x
  2. Step 2: Convert to fraction form
    24,256/36,474 = 36,474/x
  3. Step 3: Cross multiply
    24,256x = 36,474 × 36,474
  4. Step 4: Simplify right side
    24,256x = 1,330,352,676
  5. Step 5: Solve for x
    x = 1,330,352,676/24,256
  6. Step 6: Final answer
    x = 54,846.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.