Finding the Third Proportional to 20,422 and 32,094
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Solution
The third proportional to 20,422 and 32,094 is: 50,437.02
Step by Step Solution
- Step 1: Write the proportion equation
20,422 : 32,094 = 32,094 : x - Step 2: Convert to fraction form
20,422/32,094 = 32,094/x - Step 3: Cross multiply
20,422x = 32,094 × 32,094 - Step 4: Simplify right side
20,422x = 1,030,024,836 - Step 5: Solve for x
x = 1,030,024,836/20,422 - Step 6: Final answer
x = 50,437.02
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.