Finding the Third Proportional to 32,588 and 71,412
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Solution
The third proportional to 32,588 and 71,412 is: 156,489.31
Step by Step Solution
- Step 1: Write the proportion equation
32,588 : 71,412 = 71,412 : x - Step 2: Convert to fraction form
32,588/71,412 = 71,412/x - Step 3: Cross multiply
32,588x = 71,412 × 71,412 - Step 4: Simplify right side
32,588x = 5,099,673,744 - Step 5: Solve for x
x = 5,099,673,744/32,588 - Step 6: Final answer
x = 156,489.31
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.