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Finding the Third Proportional to 8,406 and 11,659.50

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Solution

The third proportional to 8,406 and 11,659.50 is: 16,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406 : 11,659.50 = 11,659.50 : x
  2. Step 2: Convert to fraction form
    8,406/11,659.50 = 11,659.50/x
  3. Step 3: Cross multiply
    8,406x = 11,659.50 × 11,659.50
  4. Step 4: Simplify right side
    8,406x = 135,943,940.25
  5. Step 5: Solve for x
    x = 135,943,940.25/8,406
  6. Step 6: Final answer
    x = 16,172.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.