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Finding the Third Proportional to 33,795.50 and 69,732.50

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Solution

The third proportional to 33,795.50 and 69,732.50 is: 143,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,795.50 : 69,732.50 = 69,732.50 : x
  2. Step 2: Convert to fraction form
    33,795.50/69,732.50 = 69,732.50/x
  3. Step 3: Cross multiply
    33,795.50x = 69,732.50 × 69,732.50
  4. Step 4: Simplify right side
    33,795.50x = 4,862,621,556.25
  5. Step 5: Solve for x
    x = 4,862,621,556.25/33,795.50
  6. Step 6: Final answer
    x = 143,883.70

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.