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Finding the Third Proportional to 33,527.06 and 69,781.83

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Solution

The third proportional to 33,527.06 and 69,781.83 is: 145,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,527.06 : 69,781.83 = 69,781.83 : x
  2. Step 2: Convert to fraction form
    33,527.06/69,781.83 = 69,781.83/x
  3. Step 3: Cross multiply
    33,527.06x = 69,781.83 × 69,781.83
  4. Step 4: Simplify right side
    33,527.06x = 4,869,503,536.47
  5. Step 5: Solve for x
    x = 4,869,503,536.47/33,527.06
  6. Step 6: Final answer
    x = 145,240.98

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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.