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Finding the Third Proportional to 20,963 and 43,627

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Solution

The third proportional to 20,963 and 43,627 is: 90,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,963 : 43,627 = 43,627 : x
  2. Step 2: Convert to fraction form
    20,963/43,627 = 43,627/x
  3. Step 3: Cross multiply
    20,963x = 43,627 × 43,627
  4. Step 4: Simplify right side
    20,963x = 1,903,315,129
  5. Step 5: Solve for x
    x = 1,903,315,129/20,963
  6. Step 6: Final answer
    x = 90,794.02

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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.