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Finding the Third Proportional to 20,851 and 44,977

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Solution

The third proportional to 20,851 and 44,977 is: 97,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851 : 44,977 = 44,977 : x
  2. Step 2: Convert to fraction form
    20,851/44,977 = 44,977/x
  3. Step 3: Cross multiply
    20,851x = 44,977 × 44,977
  4. Step 4: Simplify right side
    20,851x = 2,022,930,529
  5. Step 5: Solve for x
    x = 2,022,930,529/20,851
  6. Step 6: Final answer
    x = 97,018.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.