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Finding the Third Proportional to 20,598 and 27,977

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Solution

The third proportional to 20,598 and 27,977 is: 37,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598 : 27,977 = 27,977 : x
  2. Step 2: Convert to fraction form
    20,598/27,977 = 27,977/x
  3. Step 3: Cross multiply
    20,598x = 27,977 × 27,977
  4. Step 4: Simplify right side
    20,598x = 782,712,529
  5. Step 5: Solve for x
    x = 782,712,529/20,598
  6. Step 6: Final answer
    x = 37,999.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.