Finding the Third Proportional to 31,496 and 50,748
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Solution
The third proportional to 31,496 and 50,748 is: 81,767.83
Step by Step Solution
- Step 1: Write the proportion equation
31,496 : 50,748 = 50,748 : x - Step 2: Convert to fraction form
31,496/50,748 = 50,748/x - Step 3: Cross multiply
31,496x = 50,748 × 50,748 - Step 4: Simplify right side
31,496x = 2,575,359,504 - Step 5: Solve for x
x = 2,575,359,504/31,496 - Step 6: Final answer
x = 81,767.83
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.