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Finding the Third Proportional to 6,682 and 7,303

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Solution

The third proportional to 6,682 and 7,303 is: 7,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682 : 7,303 = 7,303 : x
  2. Step 2: Convert to fraction form
    6,682/7,303 = 7,303/x
  3. Step 3: Cross multiply
    6,682x = 7,303 × 7,303
  4. Step 4: Simplify right side
    6,682x = 53,333,809
  5. Step 5: Solve for x
    x = 53,333,809/6,682
  6. Step 6: Final answer
    x = 7,981.71

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.