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Finding the Third Proportional to 5,785 and 6,325

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Solution

The third proportional to 5,785 and 6,325 is: 6,915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785 : 6,325 = 6,325 : x
  2. Step 2: Convert to fraction form
    5,785/6,325 = 6,325/x
  3. Step 3: Cross multiply
    5,785x = 6,325 × 6,325
  4. Step 4: Simplify right side
    5,785x = 40,005,625
  5. Step 5: Solve for x
    x = 40,005,625/5,785
  6. Step 6: Final answer
    x = 6,915.41

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.