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Finding the Third Proportional to 17,965.69 and 37,083.94

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Solution

The third proportional to 17,965.69 and 37,083.94 is: 76,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,965.69 : 37,083.94 = 37,083.94 : x
  2. Step 2: Convert to fraction form
    17,965.69/37,083.94 = 37,083.94/x
  3. Step 3: Cross multiply
    17,965.69x = 37,083.94 × 37,083.94
  4. Step 4: Simplify right side
    17,965.69x = 1,375,218,420.50
  5. Step 5: Solve for x
    x = 1,375,218,420.50/17,965.69
  6. Step 6: Final answer
    x = 76,546.94

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.