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Finding the Third Proportional to 2,700 and 6,000

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Solution

The third proportional to 2,700 and 6,000 is: 13,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700 : 6,000 = 6,000 : x
  2. Step 2: Convert to fraction form
    2,700/6,000 = 6,000/x
  3. Step 3: Cross multiply
    2,700x = 6,000 × 6,000
  4. Step 4: Simplify right side
    2,700x = 36,000,000
  5. Step 5: Solve for x
    x = 36,000,000/2,700
  6. Step 6: Final answer
    x = 13,333.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.