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Finding the Third Proportional to 32,592 and 50,836

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Solution

The third proportional to 32,592 and 50,836 is: 79,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,592 : 50,836 = 50,836 : x
  2. Step 2: Convert to fraction form
    32,592/50,836 = 50,836/x
  3. Step 3: Cross multiply
    32,592x = 50,836 × 50,836
  4. Step 4: Simplify right side
    32,592x = 2,584,298,896
  5. Step 5: Solve for x
    x = 2,584,298,896/32,592
  6. Step 6: Final answer
    x = 79,292.43

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.