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Finding the Third Proportional to 32,861 and 50,977

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Solution

The third proportional to 32,861 and 50,977 is: 79,080.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,861 : 50,977 = 50,977 : x
  2. Step 2: Convert to fraction form
    32,861/50,977 = 50,977/x
  3. Step 3: Cross multiply
    32,861x = 50,977 × 50,977
  4. Step 4: Simplify right side
    32,861x = 2,598,654,529
  5. Step 5: Solve for x
    x = 2,598,654,529/32,861
  6. Step 6: Final answer
    x = 79,080.20

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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.