Finding the Third Proportional to 9,758 and 23,026
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Solution
The third proportional to 9,758 and 23,026 is: 54,334.56
Step by Step Solution
- Step 1: Write the proportion equation
9,758 : 23,026 = 23,026 : x - Step 2: Convert to fraction form
9,758/23,026 = 23,026/x - Step 3: Cross multiply
9,758x = 23,026 × 23,026 - Step 4: Simplify right side
9,758x = 530,196,676 - Step 5: Solve for x
x = 530,196,676/9,758 - Step 6: Final answer
x = 54,334.56
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.