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Finding the Third Proportional to 6,724 and 7,324

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Solution

The third proportional to 6,724 and 7,324 is: 7,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724 : 7,324 = 7,324 : x
  2. Step 2: Convert to fraction form
    6,724/7,324 = 7,324/x
  3. Step 3: Cross multiply
    6,724x = 7,324 × 7,324
  4. Step 4: Simplify right side
    6,724x = 53,640,976
  5. Step 5: Solve for x
    x = 53,640,976/6,724
  6. Step 6: Final answer
    x = 7,977.54

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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.