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Finding the Third Proportional to 6,768 and 7,267

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Solution

The third proportional to 6,768 and 7,267 is: 7,802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768 : 7,267 = 7,267 : x
  2. Step 2: Convert to fraction form
    6,768/7,267 = 7,267/x
  3. Step 3: Cross multiply
    6,768x = 7,267 × 7,267
  4. Step 4: Simplify right side
    6,768x = 52,809,289
  5. Step 5: Solve for x
    x = 52,809,289/6,768
  6. Step 6: Final answer
    x = 7,802.79

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.