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Finding the Third Proportional to 8,077 and 11,743

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Solution

The third proportional to 8,077 and 11,743 is: 17,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077 : 11,743 = 11,743 : x
  2. Step 2: Convert to fraction form
    8,077/11,743 = 11,743/x
  3. Step 3: Cross multiply
    8,077x = 11,743 × 11,743
  4. Step 4: Simplify right side
    8,077x = 137,898,049
  5. Step 5: Solve for x
    x = 137,898,049/8,077
  6. Step 6: Final answer
    x = 17,072.93

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.