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Finding the Third Proportional to 34,906.57 and 49,352.73

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Solution

The third proportional to 34,906.57 and 49,352.73 is: 69,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,906.57 : 49,352.73 = 49,352.73 : x
  2. Step 2: Convert to fraction form
    34,906.57/49,352.73 = 49,352.73/x
  3. Step 3: Cross multiply
    34,906.57x = 49,352.73 × 49,352.73
  4. Step 4: Simplify right side
    34,906.57x = 2,435,692,004.72
  5. Step 5: Solve for x
    x = 2,435,692,004.72/34,906.57
  6. Step 6: Final answer
    x = 69,777.47

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.