Finding the Third Proportional to 9,664 and 21,160
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Solution
The third proportional to 9,664 and 21,160 is: 46,331.29
Step by Step Solution
- Step 1: Write the proportion equation
9,664 : 21,160 = 21,160 : x - Step 2: Convert to fraction form
9,664/21,160 = 21,160/x - Step 3: Cross multiply
9,664x = 21,160 × 21,160 - Step 4: Simplify right side
9,664x = 447,745,600 - Step 5: Solve for x
x = 447,745,600/9,664 - Step 6: Final answer
x = 46,331.29
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.