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Finding the Third Proportional to 34,945 and 54,493

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Solution

The third proportional to 34,945 and 54,493 is: 84,976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,945 : 54,493 = 54,493 : x
  2. Step 2: Convert to fraction form
    34,945/54,493 = 54,493/x
  3. Step 3: Cross multiply
    34,945x = 54,493 × 54,493
  4. Step 4: Simplify right side
    34,945x = 2,969,487,049
  5. Step 5: Solve for x
    x = 2,969,487,049/34,945
  6. Step 6: Final answer
    x = 84,976.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.