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Finding the Third Proportional to 3,729 and 5,937

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Solution

The third proportional to 3,729 and 5,937 is: 9,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729 : 5,937 = 5,937 : x
  2. Step 2: Convert to fraction form
    3,729/5,937 = 5,937/x
  3. Step 3: Cross multiply
    3,729x = 5,937 × 5,937
  4. Step 4: Simplify right side
    3,729x = 35,247,969
  5. Step 5: Solve for x
    x = 35,247,969/3,729
  6. Step 6: Final answer
    x = 9,452.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.