Finding the Third Proportional to 31,962 and 50,030
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Solution
The third proportional to 31,962 and 50,030 is: 78,311.77
Step by Step Solution
- Step 1: Write the proportion equation
31,962 : 50,030 = 50,030 : x - Step 2: Convert to fraction form
31,962/50,030 = 50,030/x - Step 3: Cross multiply
31,962x = 50,030 × 50,030 - Step 4: Simplify right side
31,962x = 2,503,000,900 - Step 5: Solve for x
x = 2,503,000,900/31,962 - Step 6: Final answer
x = 78,311.77
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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.