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Finding the Third Proportional to 17,022.50 and 37,405

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Solution

The third proportional to 17,022.50 and 37,405 is: 82,193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.50 : 37,405 = 37,405 : x
  2. Step 2: Convert to fraction form
    17,022.50/37,405 = 37,405/x
  3. Step 3: Cross multiply
    17,022.50x = 37,405 × 37,405
  4. Step 4: Simplify right side
    17,022.50x = 1,399,134,025
  5. Step 5: Solve for x
    x = 1,399,134,025/17,022.50
  6. Step 6: Final answer
    x = 82,193.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.