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Finding the Third Proportional to 5,733 and 6,759

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Solution

The third proportional to 5,733 and 6,759 is: 7,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733 : 6,759 = 6,759 : x
  2. Step 2: Convert to fraction form
    5,733/6,759 = 6,759/x
  3. Step 3: Cross multiply
    5,733x = 6,759 × 6,759
  4. Step 4: Simplify right side
    5,733x = 45,684,081
  5. Step 5: Solve for x
    x = 45,684,081/5,733
  6. Step 6: Final answer
    x = 7,968.62

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.