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Finding the Third Proportional to 5,441 and 6,917.25

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Solution

The third proportional to 5,441 and 6,917.25 is: 8,794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441 : 6,917.25 = 6,917.25 : x
  2. Step 2: Convert to fraction form
    5,441/6,917.25 = 6,917.25/x
  3. Step 3: Cross multiply
    5,441x = 6,917.25 × 6,917.25
  4. Step 4: Simplify right side
    5,441x = 47,848,347.56
  5. Step 5: Solve for x
    x = 47,848,347.56/5,441
  6. Step 6: Final answer
    x = 8,794.04

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.