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Finding the Third Proportional to 6,077 and 9,102

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Solution

The third proportional to 6,077 and 9,102 is: 13,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077 : 9,102 = 9,102 : x
  2. Step 2: Convert to fraction form
    6,077/9,102 = 9,102/x
  3. Step 3: Cross multiply
    6,077x = 9,102 × 9,102
  4. Step 4: Simplify right side
    6,077x = 82,846,404
  5. Step 5: Solve for x
    x = 82,846,404/6,077
  6. Step 6: Final answer
    x = 13,632.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.