Finding the Third Proportional to 32,775.75 and 70,224.75
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Solution
The third proportional to 32,775.75 and 70,224.75 is: 150,462.32
Step by Step Solution
- Step 1: Write the proportion equation
32,775.75 : 70,224.75 = 70,224.75 : x - Step 2: Convert to fraction form
32,775.75/70,224.75 = 70,224.75/x - Step 3: Cross multiply
32,775.75x = 70,224.75 × 70,224.75 - Step 4: Simplify right side
32,775.75x = 4,931,515,512.56 - Step 5: Solve for x
x = 4,931,515,512.56/32,775.75 - Step 6: Final answer
x = 150,462.32
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.