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Finding the Third Proportional to 35,736.50 and 80,579.75

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Solution

The third proportional to 35,736.50 and 80,579.75 is: 181,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,736.50 : 80,579.75 = 80,579.75 : x
  2. Step 2: Convert to fraction form
    35,736.50/80,579.75 = 80,579.75/x
  3. Step 3: Cross multiply
    35,736.50x = 80,579.75 × 80,579.75
  4. Step 4: Simplify right side
    35,736.50x = 6,493,096,110.06
  5. Step 5: Solve for x
    x = 6,493,096,110.06/35,736.50
  6. Step 6: Final answer
    x = 181,693.68

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.