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Finding the Third Proportional to 6,891 and 8,097

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Solution

The third proportional to 6,891 and 8,097 is: 9,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891 : 8,097 = 8,097 : x
  2. Step 2: Convert to fraction form
    6,891/8,097 = 8,097/x
  3. Step 3: Cross multiply
    6,891x = 8,097 × 8,097
  4. Step 4: Simplify right side
    6,891x = 65,561,409
  5. Step 5: Solve for x
    x = 65,561,409/6,891
  6. Step 6: Final answer
    x = 9,514.06

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.