Finding the Third Proportional to 14,452 and 31,208
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Solution
The third proportional to 14,452 and 31,208 is: 67,391.31
Step by Step Solution
- Step 1: Write the proportion equation
14,452 : 31,208 = 31,208 : x - Step 2: Convert to fraction form
14,452/31,208 = 31,208/x - Step 3: Cross multiply
14,452x = 31,208 × 31,208 - Step 4: Simplify right side
14,452x = 973,939,264 - Step 5: Solve for x
x = 973,939,264/14,452 - Step 6: Final answer
x = 67,391.31
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.