Finding the Third Proportional to 37 and 99
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Solution
The third proportional to 37 and 99 is: 264.89
Step by Step Solution
- Step 1: Write the proportion equation
37 : 99 = 99 : x - Step 2: Convert to fraction form
37/99 = 99/x - Step 3: Cross multiply
37x = 99 × 99 - Step 4: Simplify right side
37x = 9,801 - Step 5: Solve for x
x = 9,801/37 - Step 6: Final answer
x = 264.89
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Why These Related Problems?
These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.