Finding the Third Proportional to 27,316 and 37,074
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Solution
The third proportional to 27,316 and 37,074 is: 50,317.82
Step by Step Solution
- Step 1: Write the proportion equation
27,316 : 37,074 = 37,074 : x - Step 2: Convert to fraction form
27,316/37,074 = 37,074/x - Step 3: Cross multiply
27,316x = 37,074 × 37,074 - Step 4: Simplify right side
27,316x = 1,374,481,476 - Step 5: Solve for x
x = 1,374,481,476/27,316 - Step 6: Final answer
x = 50,317.82
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.