Finding the Third Proportional to 9,646 and 21,043
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Solution
The third proportional to 9,646 and 21,043 is: 45,905.85
Step by Step Solution
- Step 1: Write the proportion equation
9,646 : 21,043 = 21,043 : x - Step 2: Convert to fraction form
9,646/21,043 = 21,043/x - Step 3: Cross multiply
9,646x = 21,043 × 21,043 - Step 4: Simplify right side
9,646x = 442,807,849 - Step 5: Solve for x
x = 442,807,849/9,646 - Step 6: Final answer
x = 45,905.85
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.