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Finding the Third Proportional to 7,697 and 11,768

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Solution

The third proportional to 7,697 and 11,768 is: 17,992.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697 : 11,768 = 11,768 : x
  2. Step 2: Convert to fraction form
    7,697/11,768 = 11,768/x
  3. Step 3: Cross multiply
    7,697x = 11,768 × 11,768
  4. Step 4: Simplify right side
    7,697x = 138,485,824
  5. Step 5: Solve for x
    x = 138,485,824/7,697
  6. Step 6: Final answer
    x = 17,992.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.