Finding the Third Proportional to 14,282 and 31,000
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Solution
The third proportional to 14,282 and 31,000 is: 67,287.49
Step by Step Solution
- Step 1: Write the proportion equation
14,282 : 31,000 = 31,000 : x - Step 2: Convert to fraction form
14,282/31,000 = 31,000/x - Step 3: Cross multiply
14,282x = 31,000 × 31,000 - Step 4: Simplify right side
14,282x = 961,000,000 - Step 5: Solve for x
x = 961,000,000/14,282 - Step 6: Final answer
x = 67,287.49
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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.