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Finding the Third Proportional to 8,440 and 11,910

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Solution

The third proportional to 8,440 and 11,910 is: 16,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440 : 11,910 = 11,910 : x
  2. Step 2: Convert to fraction form
    8,440/11,910 = 11,910/x
  3. Step 3: Cross multiply
    8,440x = 11,910 × 11,910
  4. Step 4: Simplify right side
    8,440x = 141,848,100
  5. Step 5: Solve for x
    x = 141,848,100/8,440
  6. Step 6: Final answer
    x = 16,806.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.