Finding the Third Proportional to 14,800 and 31,706
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Solution
The third proportional to 14,800 and 31,706 is: 67,923.68
Step by Step Solution
- Step 1: Write the proportion equation
14,800 : 31,706 = 31,706 : x - Step 2: Convert to fraction form
14,800/31,706 = 31,706/x - Step 3: Cross multiply
14,800x = 31,706 × 31,706 - Step 4: Simplify right side
14,800x = 1,005,270,436 - Step 5: Solve for x
x = 1,005,270,436/14,800 - Step 6: Final answer
x = 67,923.68
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.