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Finding the Third Proportional to 17,185.50 and 36,405

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Solution

The third proportional to 17,185.50 and 36,405 is: 77,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185.50 : 36,405 = 36,405 : x
  2. Step 2: Convert to fraction form
    17,185.50/36,405 = 36,405/x
  3. Step 3: Cross multiply
    17,185.50x = 36,405 × 36,405
  4. Step 4: Simplify right side
    17,185.50x = 1,325,324,025
  5. Step 5: Solve for x
    x = 1,325,324,025/17,185.50
  6. Step 6: Final answer
    x = 77,118.74

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.