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Finding the Third Proportional to 6,744 and 7,500

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Solution

The third proportional to 6,744 and 7,500 is: 8,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744 : 7,500 = 7,500 : x
  2. Step 2: Convert to fraction form
    6,744/7,500 = 7,500/x
  3. Step 3: Cross multiply
    6,744x = 7,500 × 7,500
  4. Step 4: Simplify right side
    6,744x = 56,250,000
  5. Step 5: Solve for x
    x = 56,250,000/6,744
  6. Step 6: Final answer
    x = 8,340.75

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.