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Finding the Third Proportional to 48,917 and 73,844

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Solution

The third proportional to 48,917 and 73,844 is: 111,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,917 : 73,844 = 73,844 : x
  2. Step 2: Convert to fraction form
    48,917/73,844 = 73,844/x
  3. Step 3: Cross multiply
    48,917x = 73,844 × 73,844
  4. Step 4: Simplify right side
    48,917x = 5,452,936,336
  5. Step 5: Solve for x
    x = 5,452,936,336/48,917
  6. Step 6: Final answer
    x = 111,473.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.