Finding the Third Proportional to 17,998 and 42,038
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Solution
The third proportional to 17,998 and 42,038 is: 98,188.32
Step by Step Solution
- Step 1: Write the proportion equation
17,998 : 42,038 = 42,038 : x - Step 2: Convert to fraction form
17,998/42,038 = 42,038/x - Step 3: Cross multiply
17,998x = 42,038 × 42,038 - Step 4: Simplify right side
17,998x = 1,767,193,444 - Step 5: Solve for x
x = 1,767,193,444/17,998 - Step 6: Final answer
x = 98,188.32
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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.