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Finding the Third Proportional to 32,112 and 42,622

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Solution

The third proportional to 32,112 and 42,622 is: 56,571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,112 : 42,622 = 42,622 : x
  2. Step 2: Convert to fraction form
    32,112/42,622 = 42,622/x
  3. Step 3: Cross multiply
    32,112x = 42,622 × 42,622
  4. Step 4: Simplify right side
    32,112x = 1,816,634,884
  5. Step 5: Solve for x
    x = 1,816,634,884/32,112
  6. Step 6: Final answer
    x = 56,571.84

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.