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Finding the Third Proportional to 36,231.75 and 47,715.75

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Solution

The third proportional to 36,231.75 and 47,715.75 is: 62,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,231.75 : 47,715.75 = 47,715.75 : x
  2. Step 2: Convert to fraction form
    36,231.75/47,715.75 = 47,715.75/x
  3. Step 3: Cross multiply
    36,231.75x = 47,715.75 × 47,715.75
  4. Step 4: Simplify right side
    36,231.75x = 2,276,792,798.06
  5. Step 5: Solve for x
    x = 2,276,792,798.06/36,231.75
  6. Step 6: Final answer
    x = 62,839.71

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.