Finding the Third Proportional to 27,822 and 57,486
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Solution
The third proportional to 27,822 and 57,486 is: 118,777.95
Step by Step Solution
- Step 1: Write the proportion equation
27,822 : 57,486 = 57,486 : x - Step 2: Convert to fraction form
27,822/57,486 = 57,486/x - Step 3: Cross multiply
27,822x = 57,486 × 57,486 - Step 4: Simplify right side
27,822x = 3,304,640,196 - Step 5: Solve for x
x = 3,304,640,196/27,822 - Step 6: Final answer
x = 118,777.95
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.