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Finding the Third Proportional to 5,733 and 7,734

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Solution

The third proportional to 5,733 and 7,734 is: 10,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733 : 7,734 = 7,734 : x
  2. Step 2: Convert to fraction form
    5,733/7,734 = 7,734/x
  3. Step 3: Cross multiply
    5,733x = 7,734 × 7,734
  4. Step 4: Simplify right side
    5,733x = 59,814,756
  5. Step 5: Solve for x
    x = 59,814,756/5,733
  6. Step 6: Final answer
    x = 10,433.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.