Finding the Third Proportional to 6,740 and 13,756
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Solution
The third proportional to 6,740 and 13,756 is: 28,075.30
Step by Step Solution
- Step 1: Write the proportion equation
6,740 : 13,756 = 13,756 : x - Step 2: Convert to fraction form
6,740/13,756 = 13,756/x - Step 3: Cross multiply
6,740x = 13,756 × 13,756 - Step 4: Simplify right side
6,740x = 189,227,536 - Step 5: Solve for x
x = 189,227,536/6,740 - Step 6: Final answer
x = 28,075.30
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.