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Finding the Third Proportional to 6,808.50 and 7,286.25

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Solution

The third proportional to 6,808.50 and 7,286.25 is: 7,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.50 : 7,286.25 = 7,286.25 : x
  2. Step 2: Convert to fraction form
    6,808.50/7,286.25 = 7,286.25/x
  3. Step 3: Cross multiply
    6,808.50x = 7,286.25 × 7,286.25
  4. Step 4: Simplify right side
    6,808.50x = 53,089,439.06
  5. Step 5: Solve for x
    x = 53,089,439.06/6,808.50
  6. Step 6: Final answer
    x = 7,797.52

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.