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Finding the Third Proportional to 3,744 and 6,750

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Solution

The third proportional to 3,744 and 6,750 is: 12,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744 : 6,750 = 6,750 : x
  2. Step 2: Convert to fraction form
    3,744/6,750 = 6,750/x
  3. Step 3: Cross multiply
    3,744x = 6,750 × 6,750
  4. Step 4: Simplify right side
    3,744x = 45,562,500
  5. Step 5: Solve for x
    x = 45,562,500/3,744
  6. Step 6: Final answer
    x = 12,169.47

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.