Finding the Third Proportional to 24 and 49
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Solution
The third proportional to 24 and 49 is: 100.04
Step by Step Solution
- Step 1: Write the proportion equation
24 : 49 = 49 : x - Step 2: Convert to fraction form
24/49 = 49/x - Step 3: Cross multiply
24x = 49 × 49 - Step 4: Simplify right side
24x = 2,401 - Step 5: Solve for x
x = 2,401/24 - Step 6: Final answer
x = 100.04
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.