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Finding the Third Proportional to 23,682.69 and 50,647.78

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Solution

The third proportional to 23,682.69 and 50,647.78 is: 108,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.69 : 50,647.78 = 50,647.78 : x
  2. Step 2: Convert to fraction form
    23,682.69/50,647.78 = 50,647.78/x
  3. Step 3: Cross multiply
    23,682.69x = 50,647.78 × 50,647.78
  4. Step 4: Simplify right side
    23,682.69x = 2,565,197,745.55
  5. Step 5: Solve for x
    x = 2,565,197,745.55/23,682.69
  6. Step 6: Final answer
    x = 108,315.30

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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.