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Finding the Third Proportional to 27,524.81 and 41,350.50

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Solution

The third proportional to 27,524.81 and 41,350.50 is: 62,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.81 : 41,350.50 = 41,350.50 : x
  2. Step 2: Convert to fraction form
    27,524.81/41,350.50 = 41,350.50/x
  3. Step 3: Cross multiply
    27,524.81x = 41,350.50 × 41,350.50
  4. Step 4: Simplify right side
    27,524.81x = 1,709,863,850.25
  5. Step 5: Solve for x
    x = 1,709,863,850.25/27,524.81
  6. Step 6: Final answer
    x = 62,120.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.