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Finding the Third Proportional to 33,536.06 and 71,069.06

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Solution

The third proportional to 33,536.06 and 71,069.06 is: 150,608.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,536.06 : 71,069.06 = 71,069.06 : x
  2. Step 2: Convert to fraction form
    33,536.06/71,069.06 = 71,069.06/x
  3. Step 3: Cross multiply
    33,536.06x = 71,069.06 × 71,069.06
  4. Step 4: Simplify right side
    33,536.06x = 5,050,811,644.63
  5. Step 5: Solve for x
    x = 5,050,811,644.63/33,536.06
  6. Step 6: Final answer
    x = 150,608.37

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.