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Finding the Third Proportional to 5,789 and 6,329

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Solution

The third proportional to 5,789 and 6,329 is: 6,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789 : 6,329 = 6,329 : x
  2. Step 2: Convert to fraction form
    5,789/6,329 = 6,329/x
  3. Step 3: Cross multiply
    5,789x = 6,329 × 6,329
  4. Step 4: Simplify right side
    5,789x = 40,056,241
  5. Step 5: Solve for x
    x = 40,056,241/5,789
  6. Step 6: Final answer
    x = 6,919.37

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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.