Finding the Third Proportional to 39,614 and 84,080
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Solution
The third proportional to 39,614 and 84,080 is: 178,458.28
Step by Step Solution
- Step 1: Write the proportion equation
39,614 : 84,080 = 84,080 : x - Step 2: Convert to fraction form
39,614/84,080 = 84,080/x - Step 3: Cross multiply
39,614x = 84,080 × 84,080 - Step 4: Simplify right side
39,614x = 7,069,446,400 - Step 5: Solve for x
x = 7,069,446,400/39,614 - Step 6: Final answer
x = 178,458.28
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.