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Finding the Third Proportional to 17,524.50 and 37,963.50

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Solution

The third proportional to 17,524.50 and 37,963.50 is: 82,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.50 : 37,963.50 = 37,963.50 : x
  2. Step 2: Convert to fraction form
    17,524.50/37,963.50 = 37,963.50/x
  3. Step 3: Cross multiply
    17,524.50x = 37,963.50 × 37,963.50
  4. Step 4: Simplify right side
    17,524.50x = 1,441,227,332.25
  5. Step 5: Solve for x
    x = 1,441,227,332.25/17,524.50
  6. Step 6: Final answer
    x = 82,240.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.