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Finding the Third Proportional to 7,171 and 7,891

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Solution

The third proportional to 7,171 and 7,891 is: 8,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171 : 7,891 = 7,891 : x
  2. Step 2: Convert to fraction form
    7,171/7,891 = 7,891/x
  3. Step 3: Cross multiply
    7,171x = 7,891 × 7,891
  4. Step 4: Simplify right side
    7,171x = 62,267,881
  5. Step 5: Solve for x
    x = 62,267,881/7,171
  6. Step 6: Final answer
    x = 8,683.29

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.