Finding the Third Proportional to 34,500 and 73,920
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Solution
The third proportional to 34,500 and 73,920 is: 158,381.63
Step by Step Solution
- Step 1: Write the proportion equation
34,500 : 73,920 = 73,920 : x - Step 2: Convert to fraction form
34,500/73,920 = 73,920/x - Step 3: Cross multiply
34,500x = 73,920 × 73,920 - Step 4: Simplify right side
34,500x = 5,464,166,400 - Step 5: Solve for x
x = 5,464,166,400/34,500 - Step 6: Final answer
x = 158,381.63
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.