Finding the Third Proportional to 30,732 and 67,080
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Solution
The third proportional to 30,732 and 67,080 is: 146,418.27
Step by Step Solution
- Step 1: Write the proportion equation
30,732 : 67,080 = 67,080 : x - Step 2: Convert to fraction form
30,732/67,080 = 67,080/x - Step 3: Cross multiply
30,732x = 67,080 × 67,080 - Step 4: Simplify right side
30,732x = 4,499,726,400 - Step 5: Solve for x
x = 4,499,726,400/30,732 - Step 6: Final answer
x = 146,418.27
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.