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Finding the Third Proportional to 3,324.50 and 7,239.50

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Solution

The third proportional to 3,324.50 and 7,239.50 is: 15,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.50 : 7,239.50 = 7,239.50 : x
  2. Step 2: Convert to fraction form
    3,324.50/7,239.50 = 7,239.50/x
  3. Step 3: Cross multiply
    3,324.50x = 7,239.50 × 7,239.50
  4. Step 4: Simplify right side
    3,324.50x = 52,410,360.25
  5. Step 5: Solve for x
    x = 52,410,360.25/3,324.50
  6. Step 6: Final answer
    x = 15,764.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.