Finding the Third Proportional to 37,396 and 81,832
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Solution
The third proportional to 37,396 and 81,832 is: 179,069.32
Step by Step Solution
- Step 1: Write the proportion equation
37,396 : 81,832 = 81,832 : x - Step 2: Convert to fraction form
37,396/81,832 = 81,832/x - Step 3: Cross multiply
37,396x = 81,832 × 81,832 - Step 4: Simplify right side
37,396x = 6,696,476,224 - Step 5: Solve for x
x = 6,696,476,224/37,396 - Step 6: Final answer
x = 179,069.32
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.