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Finding the Third Proportional to 33,704 and 53,836

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Solution

The third proportional to 33,704 and 53,836 is: 85,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,704 : 53,836 = 53,836 : x
  2. Step 2: Convert to fraction form
    33,704/53,836 = 53,836/x
  3. Step 3: Cross multiply
    33,704x = 53,836 × 53,836
  4. Step 4: Simplify right side
    33,704x = 2,898,314,896
  5. Step 5: Solve for x
    x = 2,898,314,896/33,704
  6. Step 6: Final answer
    x = 85,993.20

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.