Finding the Third Proportional to 17,998 and 42,035
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Solution
The third proportional to 17,998 and 42,035 is: 98,174.31
Step by Step Solution
- Step 1: Write the proportion equation
17,998 : 42,035 = 42,035 : x - Step 2: Convert to fraction form
17,998/42,035 = 42,035/x - Step 3: Cross multiply
17,998x = 42,035 × 42,035 - Step 4: Simplify right side
17,998x = 1,766,941,225 - Step 5: Solve for x
x = 1,766,941,225/17,998 - Step 6: Final answer
x = 98,174.31
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.