Finding the Third Proportional to 6,569 and 14,180
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Solution
The third proportional to 6,569 and 14,180 is: 30,609.29
Step by Step Solution
- Step 1: Write the proportion equation
6,569 : 14,180 = 14,180 : x - Step 2: Convert to fraction form
6,569/14,180 = 14,180/x - Step 3: Cross multiply
6,569x = 14,180 × 14,180 - Step 4: Simplify right side
6,569x = 201,072,400 - Step 5: Solve for x
x = 201,072,400/6,569 - Step 6: Final answer
x = 30,609.29
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.