Finding the Third Proportional to 31,984 and 50,062
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Solution
The third proportional to 31,984 and 50,062 is: 78,358.05
Step by Step Solution
- Step 1: Write the proportion equation
31,984 : 50,062 = 50,062 : x - Step 2: Convert to fraction form
31,984/50,062 = 50,062/x - Step 3: Cross multiply
31,984x = 50,062 × 50,062 - Step 4: Simplify right side
31,984x = 2,506,203,844 - Step 5: Solve for x
x = 2,506,203,844/31,984 - Step 6: Final answer
x = 78,358.05
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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.