Finding the Third Proportional to 919 and 1,925
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Solution
The third proportional to 919 and 1,925 is: 4,032.24
Step by Step Solution
- Step 1: Write the proportion equation
919 : 1,925 = 1,925 : x - Step 2: Convert to fraction form
919/1,925 = 1,925/x - Step 3: Cross multiply
919x = 1,925 × 1,925 - Step 4: Simplify right side
919x = 3,705,625 - Step 5: Solve for x
x = 3,705,625/919 - Step 6: Final answer
x = 4,032.24
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.