Finding the Third Proportional to 37,406 and 81,508
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Solution
The third proportional to 37,406 and 81,508 is: 177,606.64
Step by Step Solution
- Step 1: Write the proportion equation
37,406 : 81,508 = 81,508 : x - Step 2: Convert to fraction form
37,406/81,508 = 81,508/x - Step 3: Cross multiply
37,406x = 81,508 × 81,508 - Step 4: Simplify right side
37,406x = 6,643,554,064 - Step 5: Solve for x
x = 6,643,554,064/37,406 - Step 6: Final answer
x = 177,606.64
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.