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Finding the Third Proportional to 5,765 and 6,245

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Solution

The third proportional to 5,765 and 6,245 is: 6,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765 : 6,245 = 6,245 : x
  2. Step 2: Convert to fraction form
    5,765/6,245 = 6,245/x
  3. Step 3: Cross multiply
    5,765x = 6,245 × 6,245
  4. Step 4: Simplify right side
    5,765x = 39,000,025
  5. Step 5: Solve for x
    x = 39,000,025/5,765
  6. Step 6: Final answer
    x = 6,764.97

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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.