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Finding the Third Proportional to 4,566.80 and 6,850.83

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Solution

The third proportional to 4,566.80 and 6,850.83 is: 10,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.80 : 6,850.83 = 6,850.83 : x
  2. Step 2: Convert to fraction form
    4,566.80/6,850.83 = 6,850.83/x
  3. Step 3: Cross multiply
    4,566.80x = 6,850.83 × 6,850.83
  4. Step 4: Simplify right side
    4,566.80x = 46,933,846.00
  5. Step 5: Solve for x
    x = 46,933,846.00/4,566.80
  6. Step 6: Final answer
    x = 10,277.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.