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Finding the Third Proportional to 5,794 and 7,324

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Solution

The third proportional to 5,794 and 7,324 is: 9,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794 : 7,324 = 7,324 : x
  2. Step 2: Convert to fraction form
    5,794/7,324 = 7,324/x
  3. Step 3: Cross multiply
    5,794x = 7,324 × 7,324
  4. Step 4: Simplify right side
    5,794x = 53,640,976
  5. Step 5: Solve for x
    x = 53,640,976/5,794
  6. Step 6: Final answer
    x = 9,258.02

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.