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Finding the Third Proportional to 2,964.75 and 3,276.75

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Solution

The third proportional to 2,964.75 and 3,276.75 is: 3,621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.75 : 3,276.75 = 3,276.75 : x
  2. Step 2: Convert to fraction form
    2,964.75/3,276.75 = 3,276.75/x
  3. Step 3: Cross multiply
    2,964.75x = 3,276.75 × 3,276.75
  4. Step 4: Simplify right side
    2,964.75x = 10,737,090.56
  5. Step 5: Solve for x
    x = 10,737,090.56/2,964.75
  6. Step 6: Final answer
    x = 3,621.58

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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.