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Finding the Third Proportional to 6,324.25 and 10,161.38

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Solution

The third proportional to 6,324.25 and 10,161.38 is: 16,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.25 : 10,161.38 = 10,161.38 : x
  2. Step 2: Convert to fraction form
    6,324.25/10,161.38 = 10,161.38/x
  3. Step 3: Cross multiply
    6,324.25x = 10,161.38 × 10,161.38
  4. Step 4: Simplify right side
    6,324.25x = 103,253,541.89
  5. Step 5: Solve for x
    x = 103,253,541.89/6,324.25
  6. Step 6: Final answer
    x = 16,326.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.