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Finding the Third Proportional to 17,222.63 and 37,674.49

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Solution

The third proportional to 17,222.63 and 37,674.49 is: 82,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,222.63 : 37,674.49 = 37,674.49 : x
  2. Step 2: Convert to fraction form
    17,222.63/37,674.49 = 37,674.49/x
  3. Step 3: Cross multiply
    17,222.63x = 37,674.49 × 37,674.49
  4. Step 4: Simplify right side
    17,222.63x = 1,419,367,361.59
  5. Step 5: Solve for x
    x = 1,419,367,361.59/17,222.63
  6. Step 6: Final answer
    x = 82,412.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.