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Finding the Third Proportional to 3,205.27 and 4,850.58

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Solution

The third proportional to 3,205.27 and 4,850.58 is: 7,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.27 : 4,850.58 = 4,850.58 : x
  2. Step 2: Convert to fraction form
    3,205.27/4,850.58 = 4,850.58/x
  3. Step 3: Cross multiply
    3,205.27x = 4,850.58 × 4,850.58
  4. Step 4: Simplify right side
    3,205.27x = 23,528,108.15
  5. Step 5: Solve for x
    x = 23,528,108.15/3,205.27
  6. Step 6: Final answer
    x = 7,340.46

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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.