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Finding the Third Proportional to 33,954 and 49,890

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Solution

The third proportional to 33,954 and 49,890 is: 73,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,954 : 49,890 = 49,890 : x
  2. Step 2: Convert to fraction form
    33,954/49,890 = 49,890/x
  3. Step 3: Cross multiply
    33,954x = 49,890 × 49,890
  4. Step 4: Simplify right side
    33,954x = 2,489,012,100
  5. Step 5: Solve for x
    x = 2,489,012,100/33,954
  6. Step 6: Final answer
    x = 73,305.42

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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.