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Finding the Third Proportional to 8,103 and 11,907

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Solution

The third proportional to 8,103 and 11,907 is: 17,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103 : 11,907 = 11,907 : x
  2. Step 2: Convert to fraction form
    8,103/11,907 = 11,907/x
  3. Step 3: Cross multiply
    8,103x = 11,907 × 11,907
  4. Step 4: Simplify right side
    8,103x = 141,776,649
  5. Step 5: Solve for x
    x = 141,776,649/8,103
  6. Step 6: Final answer
    x = 17,496.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.