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Finding the Third Proportional to 20,128 and 40,962

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Solution

The third proportional to 20,128 and 40,962 is: 83,360.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128 : 40,962 = 40,962 : x
  2. Step 2: Convert to fraction form
    20,128/40,962 = 40,962/x
  3. Step 3: Cross multiply
    20,128x = 40,962 × 40,962
  4. Step 4: Simplify right side
    20,128x = 1,677,885,444
  5. Step 5: Solve for x
    x = 1,677,885,444/20,128
  6. Step 6: Final answer
    x = 83,360.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.