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Finding the Third Proportional to 23,950.69 and 52,105.78

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Solution

The third proportional to 23,950.69 and 52,105.78 is: 113,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,950.69 : 52,105.78 = 52,105.78 : x
  2. Step 2: Convert to fraction form
    23,950.69/52,105.78 = 52,105.78/x
  3. Step 3: Cross multiply
    23,950.69x = 52,105.78 × 52,105.78
  4. Step 4: Simplify right side
    23,950.69x = 2,715,012,439.67
  5. Step 5: Solve for x
    x = 2,715,012,439.67/23,950.69
  6. Step 6: Final answer
    x = 113,358.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.