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Finding the Third Proportional to 5,450 and 8,961

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Solution

The third proportional to 5,450 and 8,961 is: 14,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450 : 8,961 = 8,961 : x
  2. Step 2: Convert to fraction form
    5,450/8,961 = 8,961/x
  3. Step 3: Cross multiply
    5,450x = 8,961 × 8,961
  4. Step 4: Simplify right side
    5,450x = 80,299,521
  5. Step 5: Solve for x
    x = 80,299,521/5,450
  6. Step 6: Final answer
    x = 14,733.86

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.