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Finding the Third Proportional to 17,529.75 and 37,530

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Solution

The third proportional to 17,529.75 and 37,530 is: 80,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,529.75 : 37,530 = 37,530 : x
  2. Step 2: Convert to fraction form
    17,529.75/37,530 = 37,530/x
  3. Step 3: Cross multiply
    17,529.75x = 37,530 × 37,530
  4. Step 4: Simplify right side
    17,529.75x = 1,408,500,900
  5. Step 5: Solve for x
    x = 1,408,500,900/17,529.75
  6. Step 6: Final answer
    x = 80,349.17

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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.