Finding the Third Proportional to 14,857 and 22,286
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Solution
The third proportional to 14,857 and 22,286 is: 33,429.75
Step by Step Solution
- Step 1: Write the proportion equation
14,857 : 22,286 = 22,286 : x - Step 2: Convert to fraction form
14,857/22,286 = 22,286/x - Step 3: Cross multiply
14,857x = 22,286 × 22,286 - Step 4: Simplify right side
14,857x = 496,665,796 - Step 5: Solve for x
x = 496,665,796/14,857 - Step 6: Final answer
x = 33,429.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.