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Finding the Third Proportional to 6,324.75 and 7,212.38

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Solution

The third proportional to 6,324.75 and 7,212.38 is: 8,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.75 : 7,212.38 = 7,212.38 : x
  2. Step 2: Convert to fraction form
    6,324.75/7,212.38 = 7,212.38/x
  3. Step 3: Cross multiply
    6,324.75x = 7,212.38 × 7,212.38
  4. Step 4: Simplify right side
    6,324.75x = 52,018,353.14
  5. Step 5: Solve for x
    x = 52,018,353.14/6,324.75
  6. Step 6: Final answer
    x = 8,224.57

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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.