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Finding the Third Proportional to 11,832 and 24,052

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Solution

The third proportional to 11,832 and 24,052 is: 48,892.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832 : 24,052 = 24,052 : x
  2. Step 2: Convert to fraction form
    11,832/24,052 = 24,052/x
  3. Step 3: Cross multiply
    11,832x = 24,052 × 24,052
  4. Step 4: Simplify right side
    11,832x = 578,498,704
  5. Step 5: Solve for x
    x = 578,498,704/11,832
  6. Step 6: Final answer
    x = 48,892.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.