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Finding the Third Proportional to 17,382.09 and 37,463.77

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Solution

The third proportional to 17,382.09 and 37,463.77 is: 80,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.09 : 37,463.77 = 37,463.77 : x
  2. Step 2: Convert to fraction form
    17,382.09/37,463.77 = 37,463.77/x
  3. Step 3: Cross multiply
    17,382.09x = 37,463.77 × 37,463.77
  4. Step 4: Simplify right side
    17,382.09x = 1,403,533,734.80
  5. Step 5: Solve for x
    x = 1,403,533,734.80/17,382.09
  6. Step 6: Final answer
    x = 80,745.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.