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Finding the Third Proportional to 24,974 and 54,844

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Solution

The third proportional to 24,974 and 54,844 is: 120,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,974 : 54,844 = 54,844 : x
  2. Step 2: Convert to fraction form
    24,974/54,844 = 54,844/x
  3. Step 3: Cross multiply
    24,974x = 54,844 × 54,844
  4. Step 4: Simplify right side
    24,974x = 3,007,864,336
  5. Step 5: Solve for x
    x = 3,007,864,336/24,974
  6. Step 6: Final answer
    x = 120,439.83

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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.