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Finding the Third Proportional to 33,046.88 and 64,428.75

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Solution

The third proportional to 33,046.88 and 64,428.75 is: 125,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,046.88 : 64,428.75 = 64,428.75 : x
  2. Step 2: Convert to fraction form
    33,046.88/64,428.75 = 64,428.75/x
  3. Step 3: Cross multiply
    33,046.88x = 64,428.75 × 64,428.75
  4. Step 4: Simplify right side
    33,046.88x = 4,151,063,826.56
  5. Step 5: Solve for x
    x = 4,151,063,826.56/33,046.88
  6. Step 6: Final answer
    x = 125,611.39

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.