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Finding the Third Proportional to 5,854 and 8,233

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Solution

The third proportional to 5,854 and 8,233 is: 11,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854 : 8,233 = 8,233 : x
  2. Step 2: Convert to fraction form
    5,854/8,233 = 8,233/x
  3. Step 3: Cross multiply
    5,854x = 8,233 × 8,233
  4. Step 4: Simplify right side
    5,854x = 67,782,289
  5. Step 5: Solve for x
    x = 67,782,289/5,854
  6. Step 6: Final answer
    x = 11,578.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.