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Finding the Third Proportional to 5,797 and 6,391

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Solution

The third proportional to 5,797 and 6,391 is: 7,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797 : 6,391 = 6,391 : x
  2. Step 2: Convert to fraction form
    5,797/6,391 = 6,391/x
  3. Step 3: Cross multiply
    5,797x = 6,391 × 6,391
  4. Step 4: Simplify right side
    5,797x = 40,844,881
  5. Step 5: Solve for x
    x = 40,844,881/5,797
  6. Step 6: Final answer
    x = 7,045.87

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.