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Finding the Third Proportional to 35,553.94 and 82,101.09

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Solution

The third proportional to 35,553.94 and 82,101.09 is: 189,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,553.94 : 82,101.09 = 82,101.09 : x
  2. Step 2: Convert to fraction form
    35,553.94/82,101.09 = 82,101.09/x
  3. Step 3: Cross multiply
    35,553.94x = 82,101.09 × 82,101.09
  4. Step 4: Simplify right side
    35,553.94x = 6,740,589,594.95
  5. Step 5: Solve for x
    x = 6,740,589,594.95/35,553.94
  6. Step 6: Final answer
    x = 189,587.71

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.