Finding the Third Proportional to 9,840 and 21,048
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Solution
The third proportional to 9,840 and 21,048 is: 45,022.19
Step by Step Solution
- Step 1: Write the proportion equation
9,840 : 21,048 = 21,048 : x - Step 2: Convert to fraction form
9,840/21,048 = 21,048/x - Step 3: Cross multiply
9,840x = 21,048 × 21,048 - Step 4: Simplify right side
9,840x = 443,018,304 - Step 5: Solve for x
x = 443,018,304/9,840 - Step 6: Final answer
x = 45,022.19
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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.