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Finding the Third Proportional to 40,745.53 and 64,834.17

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Solution

The third proportional to 40,745.53 and 64,834.17 is: 103,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,745.53 : 64,834.17 = 64,834.17 : x
  2. Step 2: Convert to fraction form
    40,745.53/64,834.17 = 64,834.17/x
  3. Step 3: Cross multiply
    40,745.53x = 64,834.17 × 64,834.17
  4. Step 4: Simplify right side
    40,745.53x = 4,203,469,842.72
  5. Step 5: Solve for x
    x = 4,203,469,842.72/40,745.53
  6. Step 6: Final answer
    x = 103,163.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.