Finding the Third Proportional to 17,984 and 19,424
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Solution
The third proportional to 17,984 and 19,424 is: 20,979.30
Step by Step Solution
- Step 1: Write the proportion equation
17,984 : 19,424 = 19,424 : x - Step 2: Convert to fraction form
17,984/19,424 = 19,424/x - Step 3: Cross multiply
17,984x = 19,424 × 19,424 - Step 4: Simplify right side
17,984x = 377,291,776 - Step 5: Solve for x
x = 377,291,776/17,984 - Step 6: Final answer
x = 20,979.30
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.