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Finding the Third Proportional to 20,021 and 32,016

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Solution

The third proportional to 20,021 and 32,016 is: 51,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,021 : 32,016 = 32,016 : x
  2. Step 2: Convert to fraction form
    20,021/32,016 = 32,016/x
  3. Step 3: Cross multiply
    20,021x = 32,016 × 32,016
  4. Step 4: Simplify right side
    20,021x = 1,025,024,256
  5. Step 5: Solve for x
    x = 1,025,024,256/20,021
  6. Step 6: Final answer
    x = 51,197.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.