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Finding the Third Proportional to 5,964.75 and 6,504.75

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Solution

The third proportional to 5,964.75 and 6,504.75 is: 7,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.75 : 6,504.75 = 6,504.75 : x
  2. Step 2: Convert to fraction form
    5,964.75/6,504.75 = 6,504.75/x
  3. Step 3: Cross multiply
    5,964.75x = 6,504.75 × 6,504.75
  4. Step 4: Simplify right side
    5,964.75x = 42,311,772.56
  5. Step 5: Solve for x
    x = 42,311,772.56/5,964.75
  6. Step 6: Final answer
    x = 7,093.64

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.