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Finding the Third Proportional to 33,716 and 73,913

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Solution

The third proportional to 33,716 and 73,913 is: 162,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,716 : 73,913 = 73,913 : x
  2. Step 2: Convert to fraction form
    33,716/73,913 = 73,913/x
  3. Step 3: Cross multiply
    33,716x = 73,913 × 73,913
  4. Step 4: Simplify right side
    33,716x = 5,463,131,569
  5. Step 5: Solve for x
    x = 5,463,131,569/33,716
  6. Step 6: Final answer
    x = 162,033.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.