Finding the Third Proportional to 24,140 and 51,196
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Solution
The third proportional to 24,140 and 51,196 is: 108,576.24
Step by Step Solution
- Step 1: Write the proportion equation
24,140 : 51,196 = 51,196 : x - Step 2: Convert to fraction form
24,140/51,196 = 51,196/x - Step 3: Cross multiply
24,140x = 51,196 × 51,196 - Step 4: Simplify right side
24,140x = 2,621,030,416 - Step 5: Solve for x
x = 2,621,030,416/24,140 - Step 6: Final answer
x = 108,576.24
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.