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Finding the Third Proportional to 37,716.75 and 82,440.56

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Solution

The third proportional to 37,716.75 and 82,440.56 is: 180,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,716.75 : 82,440.56 = 82,440.56 : x
  2. Step 2: Convert to fraction form
    37,716.75/82,440.56 = 82,440.56/x
  3. Step 3: Cross multiply
    37,716.75x = 82,440.56 × 82,440.56
  4. Step 4: Simplify right side
    37,716.75x = 6,796,446,345.32
  5. Step 5: Solve for x
    x = 6,796,446,345.32/37,716.75
  6. Step 6: Final answer
    x = 180,197.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.