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Finding the Third Proportional to 3,485.53 and 6,851.46

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Solution

The third proportional to 3,485.53 and 6,851.46 is: 13,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.53 : 6,851.46 = 6,851.46 : x
  2. Step 2: Convert to fraction form
    3,485.53/6,851.46 = 6,851.46/x
  3. Step 3: Cross multiply
    3,485.53x = 6,851.46 × 6,851.46
  4. Step 4: Simplify right side
    3,485.53x = 46,942,516.98
  5. Step 5: Solve for x
    x = 46,942,516.98/3,485.53
  6. Step 6: Final answer
    x = 13,467.82

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.