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Finding the Third Proportional to 33,071.34 and 72,727.03

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Solution

The third proportional to 33,071.34 and 72,727.03 is: 159,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,071.34 : 72,727.03 = 72,727.03 : x
  2. Step 2: Convert to fraction form
    33,071.34/72,727.03 = 72,727.03/x
  3. Step 3: Cross multiply
    33,071.34x = 72,727.03 × 72,727.03
  4. Step 4: Simplify right side
    33,071.34x = 5,289,221,074.44
  5. Step 5: Solve for x
    x = 5,289,221,074.44/33,071.34
  6. Step 6: Final answer
    x = 159,933.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.