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Finding the Third Proportional to 17,752.74 and 37,965.85

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Solution

The third proportional to 17,752.74 and 37,965.85 is: 81,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.74 : 37,965.85 = 37,965.85 : x
  2. Step 2: Convert to fraction form
    17,752.74/37,965.85 = 37,965.85/x
  3. Step 3: Cross multiply
    17,752.74x = 37,965.85 × 37,965.85
  4. Step 4: Simplify right side
    17,752.74x = 1,441,405,736.56
  5. Step 5: Solve for x
    x = 1,441,405,736.56/17,752.74
  6. Step 6: Final answer
    x = 81,193.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.