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Finding the Third Proportional to 8,029 and 11,977

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Solution

The third proportional to 8,029 and 11,977 is: 17,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029 : 11,977 = 11,977 : x
  2. Step 2: Convert to fraction form
    8,029/11,977 = 11,977/x
  3. Step 3: Cross multiply
    8,029x = 11,977 × 11,977
  4. Step 4: Simplify right side
    8,029x = 143,448,529
  5. Step 5: Solve for x
    x = 143,448,529/8,029
  6. Step 6: Final answer
    x = 17,866.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.