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Finding the Third Proportional to 17,380.13 and 37,945.88

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Solution

The third proportional to 17,380.13 and 37,945.88 is: 82,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,380.13 : 37,945.88 = 37,945.88 : x
  2. Step 2: Convert to fraction form
    17,380.13/37,945.88 = 37,945.88/x
  3. Step 3: Cross multiply
    17,380.13x = 37,945.88 × 37,945.88
  4. Step 4: Simplify right side
    17,380.13x = 1,439,889,429.52
  5. Step 5: Solve for x
    x = 1,439,889,429.52/17,380.13
  6. Step 6: Final answer
    x = 82,846.90

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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.