Finding the Third Proportional to 9,733 and 21,410
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Solution
The third proportional to 9,733 and 21,410 is: 47,096.28
Step by Step Solution
- Step 1: Write the proportion equation
9,733 : 21,410 = 21,410 : x - Step 2: Convert to fraction form
9,733/21,410 = 21,410/x - Step 3: Cross multiply
9,733x = 21,410 × 21,410 - Step 4: Simplify right side
9,733x = 458,388,100 - Step 5: Solve for x
x = 458,388,100/9,733 - Step 6: Final answer
x = 47,096.28
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.