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Finding the Third Proportional to 34,626 and 54,241

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Solution

The third proportional to 34,626 and 54,241 is: 84,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,626 : 54,241 = 54,241 : x
  2. Step 2: Convert to fraction form
    34,626/54,241 = 54,241/x
  3. Step 3: Cross multiply
    34,626x = 54,241 × 54,241
  4. Step 4: Simplify right side
    34,626x = 2,942,086,081
  5. Step 5: Solve for x
    x = 2,942,086,081/34,626
  6. Step 6: Final answer
    x = 84,967.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.