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Finding the Third Proportional to 828 and 893.25

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Solution

The third proportional to 828 and 893.25 is: 963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    828 : 893.25 = 893.25 : x
  2. Step 2: Convert to fraction form
    828/893.25 = 893.25/x
  3. Step 3: Cross multiply
    828x = 893.25 × 893.25
  4. Step 4: Simplify right side
    828x = 797,895.56
  5. Step 5: Solve for x
    x = 797,895.56/828
  6. Step 6: Final answer
    x = 963.64

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.