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Finding the Third Proportional to 4,544.86 and 6,851.46

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Solution

The third proportional to 4,544.86 and 6,851.46 is: 10,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.86 : 6,851.46 = 6,851.46 : x
  2. Step 2: Convert to fraction form
    4,544.86/6,851.46 = 6,851.46/x
  3. Step 3: Cross multiply
    4,544.86x = 6,851.46 × 6,851.46
  4. Step 4: Simplify right side
    4,544.86x = 46,942,516.98
  5. Step 5: Solve for x
    x = 46,942,516.98/4,544.86
  6. Step 6: Final answer
    x = 10,328.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.