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Finding the Third Proportional to 3,832 and 5,778

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Solution

The third proportional to 3,832 and 5,778 is: 8,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832 : 5,778 = 5,778 : x
  2. Step 2: Convert to fraction form
    3,832/5,778 = 5,778/x
  3. Step 3: Cross multiply
    3,832x = 5,778 × 5,778
  4. Step 4: Simplify right side
    3,832x = 33,385,284
  5. Step 5: Solve for x
    x = 33,385,284/3,832
  6. Step 6: Final answer
    x = 8,712.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.