Finding the Third Proportional to 9,842 and 21,143
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Solution
The third proportional to 9,842 and 21,143 is: 45,420.29
Step by Step Solution
- Step 1: Write the proportion equation
9,842 : 21,143 = 21,143 : x - Step 2: Convert to fraction form
9,842/21,143 = 21,143/x - Step 3: Cross multiply
9,842x = 21,143 × 21,143 - Step 4: Simplify right side
9,842x = 447,026,449 - Step 5: Solve for x
x = 447,026,449/9,842 - Step 6: Final answer
x = 45,420.29
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.