Finding the Third Proportional to 22,304 and 27,296
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Solution
The third proportional to 22,304 and 27,296 is: 33,405.29
Step by Step Solution
- Step 1: Write the proportion equation
22,304 : 27,296 = 27,296 : x - Step 2: Convert to fraction form
22,304/27,296 = 27,296/x - Step 3: Cross multiply
22,304x = 27,296 × 27,296 - Step 4: Simplify right side
22,304x = 745,071,616 - Step 5: Solve for x
x = 745,071,616/22,304 - Step 6: Final answer
x = 33,405.29
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Why These Related Problems?
These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.