Finding the Third Proportional to 37,630 and 81,739
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Solution
The third proportional to 37,630 and 81,739 is: 177,551.53
Step by Step Solution
- Step 1: Write the proportion equation
37,630 : 81,739 = 81,739 : x - Step 2: Convert to fraction form
37,630/81,739 = 81,739/x - Step 3: Cross multiply
37,630x = 81,739 × 81,739 - Step 4: Simplify right side
37,630x = 6,681,264,121 - Step 5: Solve for x
x = 6,681,264,121/37,630 - Step 6: Final answer
x = 177,551.53
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.