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Finding the Third Proportional to 16,096 and 20,863

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Solution

The third proportional to 16,096 and 20,863 is: 27,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096 : 20,863 = 20,863 : x
  2. Step 2: Convert to fraction form
    16,096/20,863 = 20,863/x
  3. Step 3: Cross multiply
    16,096x = 20,863 × 20,863
  4. Step 4: Simplify right side
    16,096x = 435,264,769
  5. Step 5: Solve for x
    x = 435,264,769/16,096
  6. Step 6: Final answer
    x = 27,041.80

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.