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Finding the Third Proportional to 37,234.97 and 81,021.94

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Solution

The third proportional to 37,234.97 and 81,021.94 is: 176,300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,234.97 : 81,021.94 = 81,021.94 : x
  2. Step 2: Convert to fraction form
    37,234.97/81,021.94 = 81,021.94/x
  3. Step 3: Cross multiply
    37,234.97x = 81,021.94 × 81,021.94
  4. Step 4: Simplify right side
    37,234.97x = 6,564,554,356.25
  5. Step 5: Solve for x
    x = 6,564,554,356.25/37,234.97
  6. Step 6: Final answer
    x = 176,300.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.