Finding the Third Proportional to 37,310 and 81,532
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Solution
The third proportional to 37,310 and 81,532 is: 178,168.51
Step by Step Solution
- Step 1: Write the proportion equation
37,310 : 81,532 = 81,532 : x - Step 2: Convert to fraction form
37,310/81,532 = 81,532/x - Step 3: Cross multiply
37,310x = 81,532 × 81,532 - Step 4: Simplify right side
37,310x = 6,647,467,024 - Step 5: Solve for x
x = 6,647,467,024/37,310 - Step 6: Final answer
x = 178,168.51
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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.