Finding the Third Proportional to 27,320 and 55,643
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Solution
The third proportional to 27,320 and 55,643 is: 113,328.82
Step by Step Solution
- Step 1: Write the proportion equation
27,320 : 55,643 = 55,643 : x - Step 2: Convert to fraction form
27,320/55,643 = 55,643/x - Step 3: Cross multiply
27,320x = 55,643 × 55,643 - Step 4: Simplify right side
27,320x = 3,096,143,449 - Step 5: Solve for x
x = 3,096,143,449/27,320 - Step 6: Final answer
x = 113,328.82
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.