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Finding the Third Proportional to 6,085 and 9,161

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Solution

The third proportional to 6,085 and 9,161 is: 13,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085 : 9,161 = 9,161 : x
  2. Step 2: Convert to fraction form
    6,085/9,161 = 9,161/x
  3. Step 3: Cross multiply
    6,085x = 9,161 × 9,161
  4. Step 4: Simplify right side
    6,085x = 83,923,921
  5. Step 5: Solve for x
    x = 83,923,921/6,085
  6. Step 6: Final answer
    x = 13,791.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.