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Finding the Third Proportional to 20,073 and 43,977

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Solution

The third proportional to 20,073 and 43,977 is: 96,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,073 : 43,977 = 43,977 : x
  2. Step 2: Convert to fraction form
    20,073/43,977 = 43,977/x
  3. Step 3: Cross multiply
    20,073x = 43,977 × 43,977
  4. Step 4: Simplify right side
    20,073x = 1,933,976,529
  5. Step 5: Solve for x
    x = 1,933,976,529/20,073
  6. Step 6: Final answer
    x = 96,347.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.