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Finding the Third Proportional to 9,500 and 11,976

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Solution

The third proportional to 9,500 and 11,976 is: 15,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500 : 11,976 = 11,976 : x
  2. Step 2: Convert to fraction form
    9,500/11,976 = 11,976/x
  3. Step 3: Cross multiply
    9,500x = 11,976 × 11,976
  4. Step 4: Simplify right side
    9,500x = 143,424,576
  5. Step 5: Solve for x
    x = 143,424,576/9,500
  6. Step 6: Final answer
    x = 15,097.32

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.