Finding the Third Proportional to 17,234 and 37,854
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Solution
The third proportional to 17,234 and 37,854 is: 83,145.25
Step by Step Solution
- Step 1: Write the proportion equation
17,234 : 37,854 = 37,854 : x - Step 2: Convert to fraction form
17,234/37,854 = 37,854/x - Step 3: Cross multiply
17,234x = 37,854 × 37,854 - Step 4: Simplify right side
17,234x = 1,432,925,316 - Step 5: Solve for x
x = 1,432,925,316/17,234 - Step 6: Final answer
x = 83,145.25
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.