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Finding the Third Proportional to 4,786.75 and 6,807.25

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Solution

The third proportional to 4,786.75 and 6,807.25 is: 9,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.75 : 6,807.25 = 6,807.25 : x
  2. Step 2: Convert to fraction form
    4,786.75/6,807.25 = 6,807.25/x
  3. Step 3: Cross multiply
    4,786.75x = 6,807.25 × 6,807.25
  4. Step 4: Simplify right side
    4,786.75x = 46,338,652.56
  5. Step 5: Solve for x
    x = 46,338,652.56/4,786.75
  6. Step 6: Final answer
    x = 9,680.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.