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Finding the Third Proportional to 2,996 and 4,800

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Solution

The third proportional to 2,996 and 4,800 is: 7,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996 : 4,800 = 4,800 : x
  2. Step 2: Convert to fraction form
    2,996/4,800 = 4,800/x
  3. Step 3: Cross multiply
    2,996x = 4,800 × 4,800
  4. Step 4: Simplify right side
    2,996x = 23,040,000
  5. Step 5: Solve for x
    x = 23,040,000/2,996
  6. Step 6: Final answer
    x = 7,690.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.