Finding the Third Proportional to 32,325 and 67,416
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Solution
The third proportional to 32,325 and 67,416 is: 140,600.68
Step by Step Solution
- Step 1: Write the proportion equation
32,325 : 67,416 = 67,416 : x - Step 2: Convert to fraction form
32,325/67,416 = 67,416/x - Step 3: Cross multiply
32,325x = 67,416 × 67,416 - Step 4: Simplify right side
32,325x = 4,544,917,056 - Step 5: Solve for x
x = 4,544,917,056/32,325 - Step 6: Final answer
x = 140,600.68
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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.