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Finding the Third Proportional to 34,041 and 49,917

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Solution

The third proportional to 34,041 and 49,917 is: 73,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,041 : 49,917 = 49,917 : x
  2. Step 2: Convert to fraction form
    34,041/49,917 = 49,917/x
  3. Step 3: Cross multiply
    34,041x = 49,917 × 49,917
  4. Step 4: Simplify right side
    34,041x = 2,491,706,889
  5. Step 5: Solve for x
    x = 2,491,706,889/34,041
  6. Step 6: Final answer
    x = 73,197.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.