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Finding the Third Proportional to 3,741 and 5,869

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Solution

The third proportional to 3,741 and 5,869 is: 9,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741 : 5,869 = 5,869 : x
  2. Step 2: Convert to fraction form
    3,741/5,869 = 5,869/x
  3. Step 3: Cross multiply
    3,741x = 5,869 × 5,869
  4. Step 4: Simplify right side
    3,741x = 34,445,161
  5. Step 5: Solve for x
    x = 34,445,161/3,741
  6. Step 6: Final answer
    x = 9,207.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.