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Finding the Third Proportional to 12,963 and 20,676

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Solution

The third proportional to 12,963 and 20,676 is: 32,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963 : 20,676 = 20,676 : x
  2. Step 2: Convert to fraction form
    12,963/20,676 = 20,676/x
  3. Step 3: Cross multiply
    12,963x = 20,676 × 20,676
  4. Step 4: Simplify right side
    12,963x = 427,496,976
  5. Step 5: Solve for x
    x = 427,496,976/12,963
  6. Step 6: Final answer
    x = 32,978.24

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