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Finding the Third Proportional to 20,896 and 32,615

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Solution

The third proportional to 20,896 and 32,615 is: 50,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896 : 32,615 = 32,615 : x
  2. Step 2: Convert to fraction form
    20,896/32,615 = 32,615/x
  3. Step 3: Cross multiply
    20,896x = 32,615 × 32,615
  4. Step 4: Simplify right side
    20,896x = 1,063,738,225
  5. Step 5: Solve for x
    x = 1,063,738,225/20,896
  6. Step 6: Final answer
    x = 50,906.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.