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Finding the Third Proportional to 54,738 and 73,837

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Solution

The third proportional to 54,738 and 73,837 is: 99,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,738 : 73,837 = 73,837 : x
  2. Step 2: Convert to fraction form
    54,738/73,837 = 73,837/x
  3. Step 3: Cross multiply
    54,738x = 73,837 × 73,837
  4. Step 4: Simplify right side
    54,738x = 5,451,902,569
  5. Step 5: Solve for x
    x = 5,451,902,569/54,738
  6. Step 6: Final answer
    x = 99,599.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.