Finding the Third Proportional to 31,951.50 and 69,423
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Solution
The third proportional to 31,951.50 and 69,423 is: 150,839.65
Step by Step Solution
- Step 1: Write the proportion equation
31,951.50 : 69,423 = 69,423 : x - Step 2: Convert to fraction form
31,951.50/69,423 = 69,423/x - Step 3: Cross multiply
31,951.50x = 69,423 × 69,423 - Step 4: Simplify right side
31,951.50x = 4,819,552,929 - Step 5: Solve for x
x = 4,819,552,929/31,951.50 - Step 6: Final answer
x = 150,839.65
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.