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Finding the Third Proportional to 33,495.75 and 69,747.89

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Solution

The third proportional to 33,495.75 and 69,747.89 is: 145,235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,495.75 : 69,747.89 = 69,747.89 : x
  2. Step 2: Convert to fraction form
    33,495.75/69,747.89 = 69,747.89/x
  3. Step 3: Cross multiply
    33,495.75x = 69,747.89 × 69,747.89
  4. Step 4: Simplify right side
    33,495.75x = 4,864,768,246.64
  5. Step 5: Solve for x
    x = 4,864,768,246.64/33,495.75
  6. Step 6: Final answer
    x = 145,235.39

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.