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Finding the Third Proportional to 3,833 and 6,114

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Solution

The third proportional to 3,833 and 6,114 is: 9,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833 : 6,114 = 6,114 : x
  2. Step 2: Convert to fraction form
    3,833/6,114 = 6,114/x
  3. Step 3: Cross multiply
    3,833x = 6,114 × 6,114
  4. Step 4: Simplify right side
    3,833x = 37,380,996
  5. Step 5: Solve for x
    x = 37,380,996/3,833
  6. Step 6: Final answer
    x = 9,752.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.