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Finding the Third Proportional to 6,738 and 7,350

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Solution

The third proportional to 6,738 and 7,350 is: 8,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738 : 7,350 = 7,350 : x
  2. Step 2: Convert to fraction form
    6,738/7,350 = 7,350/x
  3. Step 3: Cross multiply
    6,738x = 7,350 × 7,350
  4. Step 4: Simplify right side
    6,738x = 54,022,500
  5. Step 5: Solve for x
    x = 54,022,500/6,738
  6. Step 6: Final answer
    x = 8,017.59

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.