Finding the Third Proportional to 10,569 and 14,236
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Solution
The third proportional to 10,569 and 14,236 is: 19,175.30
Step by Step Solution
- Step 1: Write the proportion equation
10,569 : 14,236 = 14,236 : x - Step 2: Convert to fraction form
10,569/14,236 = 14,236/x - Step 3: Cross multiply
10,569x = 14,236 × 14,236 - Step 4: Simplify right side
10,569x = 202,663,696 - Step 5: Solve for x
x = 202,663,696/10,569 - Step 6: Final answer
x = 19,175.30
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.