Finding the Third Proportional to 1,945.75 and 2,963.75
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Solution
The third proportional to 1,945.75 and 2,963.75 is: 4,514.36
Step by Step Solution
- Step 1: Write the proportion equation
1,945.75 : 2,963.75 = 2,963.75 : x - Step 2: Convert to fraction form
1,945.75/2,963.75 = 2,963.75/x - Step 3: Cross multiply
1,945.75x = 2,963.75 × 2,963.75 - Step 4: Simplify right side
1,945.75x = 8,783,814.06 - Step 5: Solve for x
x = 8,783,814.06/1,945.75 - Step 6: Final answer
x = 4,514.36
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.