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Finding the Third Proportional to 20,868 and 43,462

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Solution

The third proportional to 20,868 and 43,462 is: 90,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,868 : 43,462 = 43,462 : x
  2. Step 2: Convert to fraction form
    20,868/43,462 = 43,462/x
  3. Step 3: Cross multiply
    20,868x = 43,462 × 43,462
  4. Step 4: Simplify right side
    20,868x = 1,888,945,444
  5. Step 5: Solve for x
    x = 1,888,945,444/20,868
  6. Step 6: Final answer
    x = 90,518.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.