Finding the Third Proportional to 10,449 and 14,175
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Solution
The third proportional to 10,449 and 14,175 is: 19,229.65
Step by Step Solution
- Step 1: Write the proportion equation
10,449 : 14,175 = 14,175 : x - Step 2: Convert to fraction form
10,449/14,175 = 14,175/x - Step 3: Cross multiply
10,449x = 14,175 × 14,175 - Step 4: Simplify right side
10,449x = 200,930,625 - Step 5: Solve for x
x = 200,930,625/10,449 - Step 6: Final answer
x = 19,229.65
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.