Finding the Third Proportional to 31,829 and 50,187
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Solution
The third proportional to 31,829 and 50,187 is: 79,133.34
Step by Step Solution
- Step 1: Write the proportion equation
31,829 : 50,187 = 50,187 : x - Step 2: Convert to fraction form
31,829/50,187 = 50,187/x - Step 3: Cross multiply
31,829x = 50,187 × 50,187 - Step 4: Simplify right side
31,829x = 2,518,734,969 - Step 5: Solve for x
x = 2,518,734,969/31,829 - Step 6: Final answer
x = 79,133.34
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.