Finding the Third Proportional to 8,232.75 and 17,673.75
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Solution
The third proportional to 8,232.75 and 17,673.75 is: 37,941.32
Step by Step Solution
- Step 1: Write the proportion equation
8,232.75 : 17,673.75 = 17,673.75 : x - Step 2: Convert to fraction form
8,232.75/17,673.75 = 17,673.75/x - Step 3: Cross multiply
8,232.75x = 17,673.75 × 17,673.75 - Step 4: Simplify right side
8,232.75x = 312,361,439.06 - Step 5: Solve for x
x = 312,361,439.06/8,232.75 - Step 6: Final answer
x = 37,941.32
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.