Finding the Third Proportional to 48 and 121.50
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Solution
The third proportional to 48 and 121.50 is: 307.55
Step by Step Solution
- Step 1: Write the proportion equation
48 : 121.50 = 121.50 : x - Step 2: Convert to fraction form
48/121.50 = 121.50/x - Step 3: Cross multiply
48x = 121.50 × 121.50 - Step 4: Simplify right side
48x = 14,762.25 - Step 5: Solve for x
x = 14,762.25/48 - Step 6: Final answer
x = 307.55
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Why These Related Problems?
These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.