Finding the Third Proportional to 9,736 and 22,860
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Solution
The third proportional to 9,736 and 22,860 is: 53,674.98
Step by Step Solution
- Step 1: Write the proportion equation
9,736 : 22,860 = 22,860 : x - Step 2: Convert to fraction form
9,736/22,860 = 22,860/x - Step 3: Cross multiply
9,736x = 22,860 × 22,860 - Step 4: Simplify right side
9,736x = 522,579,600 - Step 5: Solve for x
x = 522,579,600/9,736 - Step 6: Final answer
x = 53,674.98
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Why These Related Problems?
These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.