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Finding the Third Proportional to 33,162.09 and 71,575.88

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Solution

The third proportional to 33,162.09 and 71,575.88 is: 154,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,162.09 : 71,575.88 = 71,575.88 : x
  2. Step 2: Convert to fraction form
    33,162.09/71,575.88 = 71,575.88/x
  3. Step 3: Cross multiply
    33,162.09x = 71,575.88 × 71,575.88
  4. Step 4: Simplify right side
    33,162.09x = 5,123,105,882.02
  5. Step 5: Solve for x
    x = 5,123,105,882.02/33,162.09
  6. Step 6: Final answer
    x = 154,486.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.