Finding the Third Proportional to 6,736 and 13,807
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Solution
The third proportional to 6,736 and 13,807 is: 28,300.66
Step by Step Solution
- Step 1: Write the proportion equation
6,736 : 13,807 = 13,807 : x - Step 2: Convert to fraction form
6,736/13,807 = 13,807/x - Step 3: Cross multiply
6,736x = 13,807 × 13,807 - Step 4: Simplify right side
6,736x = 190,633,249 - Step 5: Solve for x
x = 190,633,249/6,736 - Step 6: Final answer
x = 28,300.66
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.