Finding the Third Proportional to 9,798 and 13,962
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Solution
The third proportional to 9,798 and 13,962 is: 19,895.64
Step by Step Solution
- Step 1: Write the proportion equation
9,798 : 13,962 = 13,962 : x - Step 2: Convert to fraction form
9,798/13,962 = 13,962/x - Step 3: Cross multiply
9,798x = 13,962 × 13,962 - Step 4: Simplify right side
9,798x = 194,937,444 - Step 5: Solve for x
x = 194,937,444/9,798 - Step 6: Final answer
x = 19,895.64
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.