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Finding the Third Proportional to 33,837.75 and 68,496.89

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Solution

The third proportional to 33,837.75 and 68,496.89 is: 138,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,837.75 : 68,496.89 = 68,496.89 : x
  2. Step 2: Convert to fraction form
    33,837.75/68,496.89 = 68,496.89/x
  3. Step 3: Cross multiply
    33,837.75x = 68,496.89 × 68,496.89
  4. Step 4: Simplify right side
    33,837.75x = 4,691,824,025.29
  5. Step 5: Solve for x
    x = 4,691,824,025.29/33,837.75
  6. Step 6: Final answer
    x = 138,656.50

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.