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Finding the Third Proportional to 31,962 and 49,626

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Solution

The third proportional to 31,962 and 49,626 is: 77,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,962 : 49,626 = 49,626 : x
  2. Step 2: Convert to fraction form
    31,962/49,626 = 49,626/x
  3. Step 3: Cross multiply
    31,962x = 49,626 × 49,626
  4. Step 4: Simplify right side
    31,962x = 2,462,739,876
  5. Step 5: Solve for x
    x = 2,462,739,876/31,962
  6. Step 6: Final answer
    x = 77,052.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.