Finding the Third Proportional to 822 and 882
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Solution
The third proportional to 822 and 882 is: 946.38
Step by Step Solution
- Step 1: Write the proportion equation
822 : 882 = 882 : x - Step 2: Convert to fraction form
822/882 = 882/x - Step 3: Cross multiply
822x = 882 × 882 - Step 4: Simplify right side
822x = 777,924 - Step 5: Solve for x
x = 777,924/822 - Step 6: Final answer
x = 946.38
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Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.