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Finding the Third Proportional to 8,138 and 11,911

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Solution

The third proportional to 8,138 and 11,911 is: 17,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138 : 11,911 = 11,911 : x
  2. Step 2: Convert to fraction form
    8,138/11,911 = 11,911/x
  3. Step 3: Cross multiply
    8,138x = 11,911 × 11,911
  4. Step 4: Simplify right side
    8,138x = 141,871,921
  5. Step 5: Solve for x
    x = 141,871,921/8,138
  6. Step 6: Final answer
    x = 17,433.27

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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.