Finding the Third Proportional to 31,659 and 70,716
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Solution
The third proportional to 31,659 and 70,716 is: 157,956.75
Step by Step Solution
- Step 1: Write the proportion equation
31,659 : 70,716 = 70,716 : x - Step 2: Convert to fraction form
31,659/70,716 = 70,716/x - Step 3: Cross multiply
31,659x = 70,716 × 70,716 - Step 4: Simplify right side
31,659x = 5,000,752,656 - Step 5: Solve for x
x = 5,000,752,656/31,659 - Step 6: Final answer
x = 157,956.75
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.