Finding the Third Proportional to 31,998 and 48,003
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Solution
The third proportional to 31,998 and 48,003 is: 72,013.50
Step by Step Solution
- Step 1: Write the proportion equation
31,998 : 48,003 = 48,003 : x - Step 2: Convert to fraction form
31,998/48,003 = 48,003/x - Step 3: Cross multiply
31,998x = 48,003 × 48,003 - Step 4: Simplify right side
31,998x = 2,304,288,009 - Step 5: Solve for x
x = 2,304,288,009/31,998 - Step 6: Final answer
x = 72,013.50
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Double scale
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Similar ratio
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.