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Finding the Third Proportional to 17,382.94 and 37,970.44

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Solution

The third proportional to 17,382.94 and 37,970.44 is: 82,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.94 : 37,970.44 = 37,970.44 : x
  2. Step 2: Convert to fraction form
    17,382.94/37,970.44 = 37,970.44/x
  3. Step 3: Cross multiply
    17,382.94x = 37,970.44 × 37,970.44
  4. Step 4: Simplify right side
    17,382.94x = 1,441,754,123.94
  5. Step 5: Solve for x
    x = 1,441,754,123.94/17,382.94
  6. Step 6: Final answer
    x = 82,940.76

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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.