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Finding the Third Proportional to 17,967.75 and 37,797.38

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Solution

The third proportional to 17,967.75 and 37,797.38 is: 79,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967.75 : 37,797.38 = 37,797.38 : x
  2. Step 2: Convert to fraction form
    17,967.75/37,797.38 = 37,797.38/x
  3. Step 3: Cross multiply
    17,967.75x = 37,797.38 × 37,797.38
  4. Step 4: Simplify right side
    17,967.75x = 1,428,641,556.89
  5. Step 5: Solve for x
    x = 1,428,641,556.89/17,967.75
  6. Step 6: Final answer
    x = 79,511.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.