Finding the Third Proportional to 822 and 1,582
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Solution
The third proportional to 822 and 1,582 is: 3,044.68
Step by Step Solution
- Step 1: Write the proportion equation
822 : 1,582 = 1,582 : x - Step 2: Convert to fraction form
822/1,582 = 1,582/x - Step 3: Cross multiply
822x = 1,582 × 1,582 - Step 4: Simplify right side
822x = 2,502,724 - Step 5: Solve for x
x = 2,502,724/822 - Step 6: Final answer
x = 3,044.68
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Why These Related Problems?
These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.