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Finding the Third Proportional to 5,450 and 7,963

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Solution

The third proportional to 5,450 and 7,963 is: 11,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450 : 7,963 = 7,963 : x
  2. Step 2: Convert to fraction form
    5,450/7,963 = 7,963/x
  3. Step 3: Cross multiply
    5,450x = 7,963 × 7,963
  4. Step 4: Simplify right side
    5,450x = 63,409,369
  5. Step 5: Solve for x
    x = 63,409,369/5,450
  6. Step 6: Final answer
    x = 11,634.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.