Finding the Third Proportional to 5,823.75 and 8,232.75
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Solution
The third proportional to 5,823.75 and 8,232.75 is: 11,638.24
Step by Step Solution
- Step 1: Write the proportion equation
5,823.75 : 8,232.75 = 8,232.75 : x - Step 2: Convert to fraction form
5,823.75/8,232.75 = 8,232.75/x - Step 3: Cross multiply
5,823.75x = 8,232.75 × 8,232.75 - Step 4: Simplify right side
5,823.75x = 67,778,172.56 - Step 5: Solve for x
x = 67,778,172.56/5,823.75 - Step 6: Final answer
x = 11,638.24
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.