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Finding the Third Proportional to 2,670 and 2,994

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Solution

The third proportional to 2,670 and 2,994 is: 3,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670 : 2,994 = 2,994 : x
  2. Step 2: Convert to fraction form
    2,670/2,994 = 2,994/x
  3. Step 3: Cross multiply
    2,670x = 2,994 × 2,994
  4. Step 4: Simplify right side
    2,670x = 8,964,036
  5. Step 5: Solve for x
    x = 8,964,036/2,670
  6. Step 6: Final answer
    x = 3,357.32

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.