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Finding the Third Proportional to 33,908 and 52,926

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Solution

The third proportional to 33,908 and 52,926 is: 82,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,908 : 52,926 = 52,926 : x
  2. Step 2: Convert to fraction form
    33,908/52,926 = 52,926/x
  3. Step 3: Cross multiply
    33,908x = 52,926 × 52,926
  4. Step 4: Simplify right side
    33,908x = 2,801,161,476
  5. Step 5: Solve for x
    x = 2,801,161,476/33,908
  6. Step 6: Final answer
    x = 82,610.64

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.