Finding the Third Proportional to 9,210 and 14,647
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Solution
The third proportional to 9,210 and 14,647 is: 23,293.66
Step by Step Solution
- Step 1: Write the proportion equation
9,210 : 14,647 = 14,647 : x - Step 2: Convert to fraction form
9,210/14,647 = 14,647/x - Step 3: Cross multiply
9,210x = 14,647 × 14,647 - Step 4: Simplify right side
9,210x = 214,534,609 - Step 5: Solve for x
x = 214,534,609/9,210 - Step 6: Final answer
x = 23,293.66
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.