Finding the Third Proportional to 24,309 and 53,117
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Solution
The third proportional to 24,309 and 53,117 is: 116,064.65
Step by Step Solution
- Step 1: Write the proportion equation
24,309 : 53,117 = 53,117 : x - Step 2: Convert to fraction form
24,309/53,117 = 53,117/x - Step 3: Cross multiply
24,309x = 53,117 × 53,117 - Step 4: Simplify right side
24,309x = 2,821,415,689 - Step 5: Solve for x
x = 2,821,415,689/24,309 - Step 6: Final answer
x = 116,064.65
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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.