Finding the Third Proportional to 9,997 and 15,548
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Solution
The third proportional to 9,997 and 15,548 is: 24,181.28
Step by Step Solution
- Step 1: Write the proportion equation
9,997 : 15,548 = 15,548 : x - Step 2: Convert to fraction form
9,997/15,548 = 15,548/x - Step 3: Cross multiply
9,997x = 15,548 × 15,548 - Step 4: Simplify right side
9,997x = 241,740,304 - Step 5: Solve for x
x = 241,740,304/9,997 - Step 6: Final answer
x = 24,181.28
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.