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Finding the Third Proportional to 9,508 and 12,619

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Solution

The third proportional to 9,508 and 12,619 is: 16,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508 : 12,619 = 12,619 : x
  2. Step 2: Convert to fraction form
    9,508/12,619 = 12,619/x
  3. Step 3: Cross multiply
    9,508x = 12,619 × 12,619
  4. Step 4: Simplify right side
    9,508x = 159,239,161
  5. Step 5: Solve for x
    x = 159,239,161/9,508
  6. Step 6: Final answer
    x = 16,747.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.