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Finding the Third Proportional to 2,964.75 and 3,384.75

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Solution

The third proportional to 2,964.75 and 3,384.75 is: 3,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.75 : 3,384.75 = 3,384.75 : x
  2. Step 2: Convert to fraction form
    2,964.75/3,384.75 = 3,384.75/x
  3. Step 3: Cross multiply
    2,964.75x = 3,384.75 × 3,384.75
  4. Step 4: Simplify right side
    2,964.75x = 11,456,532.56
  5. Step 5: Solve for x
    x = 11,456,532.56/2,964.75
  6. Step 6: Final answer
    x = 3,864.25

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.