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Finding the Third Proportional to 17,538.75 and 37,268.44

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Solution

The third proportional to 17,538.75 and 37,268.44 is: 79,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.75 : 37,268.44 = 37,268.44 : x
  2. Step 2: Convert to fraction form
    17,538.75/37,268.44 = 37,268.44/x
  3. Step 3: Cross multiply
    17,538.75x = 37,268.44 × 37,268.44
  4. Step 4: Simplify right side
    17,538.75x = 1,388,936,433.69
  5. Step 5: Solve for x
    x = 1,388,936,433.69/17,538.75
  6. Step 6: Final answer
    x = 79,192.44

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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.