Finding the Third Proportional to 9,878 and 21,164
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Solution
The third proportional to 9,878 and 21,164 is: 45,344.69
Step by Step Solution
- Step 1: Write the proportion equation
9,878 : 21,164 = 21,164 : x - Step 2: Convert to fraction form
9,878/21,164 = 21,164/x - Step 3: Cross multiply
9,878x = 21,164 × 21,164 - Step 4: Simplify right side
9,878x = 447,914,896 - Step 5: Solve for x
x = 447,914,896/9,878 - Step 6: Final answer
x = 45,344.69
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.