Finding the Third Proportional to 6,802 and 7,362
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Solution
The third proportional to 6,802 and 7,362 is: 7,968.10
Step by Step Solution
- Step 1: Write the proportion equation
6,802 : 7,362 = 7,362 : x - Step 2: Convert to fraction form
6,802/7,362 = 7,362/x - Step 3: Cross multiply
6,802x = 7,362 × 7,362 - Step 4: Simplify right side
6,802x = 54,199,044 - Step 5: Solve for x
x = 54,199,044/6,802 - Step 6: Final answer
x = 7,968.10
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.