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Finding the Third Proportional to 3,204.56 and 7,597.97

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Solution

The third proportional to 3,204.56 and 7,597.97 is: 18,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.56 : 7,597.97 = 7,597.97 : x
  2. Step 2: Convert to fraction form
    3,204.56/7,597.97 = 7,597.97/x
  3. Step 3: Cross multiply
    3,204.56x = 7,597.97 × 7,597.97
  4. Step 4: Simplify right side
    3,204.56x = 57,729,129.13
  5. Step 5: Solve for x
    x = 57,729,129.13/3,204.56
  6. Step 6: Final answer
    x = 18,014.67

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.