Finding the Third Proportional to 24,550 and 53,778
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Solution
The third proportional to 24,550 and 53,778 is: 117,803.39
Step by Step Solution
- Step 1: Write the proportion equation
24,550 : 53,778 = 53,778 : x - Step 2: Convert to fraction form
24,550/53,778 = 53,778/x - Step 3: Cross multiply
24,550x = 53,778 × 53,778 - Step 4: Simplify right side
24,550x = 2,892,073,284 - Step 5: Solve for x
x = 2,892,073,284/24,550 - Step 6: Final answer
x = 117,803.39
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.