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Finding the Third Proportional to 7,311 and 16,077

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Solution

The third proportional to 7,311 and 16,077 is: 35,353.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311 : 16,077 = 16,077 : x
  2. Step 2: Convert to fraction form
    7,311/16,077 = 16,077/x
  3. Step 3: Cross multiply
    7,311x = 16,077 × 16,077
  4. Step 4: Simplify right side
    7,311x = 258,469,929
  5. Step 5: Solve for x
    x = 258,469,929/7,311
  6. Step 6: Final answer
    x = 35,353.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.