Finding the Third Proportional to 27,940 and 37,968
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Solution
The third proportional to 27,940 and 37,968 is: 51,595.17
Step by Step Solution
- Step 1: Write the proportion equation
27,940 : 37,968 = 37,968 : x - Step 2: Convert to fraction form
27,940/37,968 = 37,968/x - Step 3: Cross multiply
27,940x = 37,968 × 37,968 - Step 4: Simplify right side
27,940x = 1,441,569,024 - Step 5: Solve for x
x = 1,441,569,024/27,940 - Step 6: Final answer
x = 51,595.17
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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.