Finding the Third Proportional to 37,422 and 81,878
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Solution
The third proportional to 37,422 and 81,878 is: 179,146.14
Step by Step Solution
- Step 1: Write the proportion equation
37,422 : 81,878 = 81,878 : x - Step 2: Convert to fraction form
37,422/81,878 = 81,878/x - Step 3: Cross multiply
37,422x = 81,878 × 81,878 - Step 4: Simplify right side
37,422x = 6,704,006,884 - Step 5: Solve for x
x = 6,704,006,884/37,422 - Step 6: Final answer
x = 179,146.14
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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.