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Finding the Third Proportional to 6,844 and 7,276

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Solution

The third proportional to 6,844 and 7,276 is: 7,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844 : 7,276 = 7,276 : x
  2. Step 2: Convert to fraction form
    6,844/7,276 = 7,276/x
  3. Step 3: Cross multiply
    6,844x = 7,276 × 7,276
  4. Step 4: Simplify right side
    6,844x = 52,940,176
  5. Step 5: Solve for x
    x = 52,940,176/6,844
  6. Step 6: Final answer
    x = 7,735.27

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.