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Finding the Third Proportional to 32,692 and 50,622

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Solution

The third proportional to 32,692 and 50,622 is: 78,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692 : 50,622 = 50,622 : x
  2. Step 2: Convert to fraction form
    32,692/50,622 = 50,622/x
  3. Step 3: Cross multiply
    32,692x = 50,622 × 50,622
  4. Step 4: Simplify right side
    32,692x = 2,562,586,884
  5. Step 5: Solve for x
    x = 2,562,586,884/32,692
  6. Step 6: Final answer
    x = 78,385.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.