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Finding the Third Proportional to 3,084 and 6,629.25

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Solution

The third proportional to 3,084 and 6,629.25 is: 14,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084 : 6,629.25 = 6,629.25 : x
  2. Step 2: Convert to fraction form
    3,084/6,629.25 = 6,629.25/x
  3. Step 3: Cross multiply
    3,084x = 6,629.25 × 6,629.25
  4. Step 4: Simplify right side
    3,084x = 43,946,955.56
  5. Step 5: Solve for x
    x = 43,946,955.56/3,084
  6. Step 6: Final answer
    x = 14,249.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.