Finding the Third Proportional to 27,272 and 42,849
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Solution
The third proportional to 27,272 and 42,849 is: 67,323.14
Step by Step Solution
- Step 1: Write the proportion equation
27,272 : 42,849 = 42,849 : x - Step 2: Convert to fraction form
27,272/42,849 = 42,849/x - Step 3: Cross multiply
27,272x = 42,849 × 42,849 - Step 4: Simplify right side
27,272x = 1,836,036,801 - Step 5: Solve for x
x = 1,836,036,801/27,272 - Step 6: Final answer
x = 67,323.14
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.