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Finding the Third Proportional to 20,877 and 31,977

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Solution

The third proportional to 20,877 and 31,977 is: 48,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,877 : 31,977 = 31,977 : x
  2. Step 2: Convert to fraction form
    20,877/31,977 = 31,977/x
  3. Step 3: Cross multiply
    20,877x = 31,977 × 31,977
  4. Step 4: Simplify right side
    20,877x = 1,022,528,529
  5. Step 5: Solve for x
    x = 1,022,528,529/20,877
  6. Step 6: Final answer
    x = 48,978.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.