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Finding the Third Proportional to 6,085 and 9,171

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Solution

The third proportional to 6,085 and 9,171 is: 13,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085 : 9,171 = 9,171 : x
  2. Step 2: Convert to fraction form
    6,085/9,171 = 9,171/x
  3. Step 3: Cross multiply
    6,085x = 9,171 × 9,171
  4. Step 4: Simplify right side
    6,085x = 84,107,241
  5. Step 5: Solve for x
    x = 84,107,241/6,085
  6. Step 6: Final answer
    x = 13,822.06

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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.