Finding the Third Proportional to 9,757.50 and 23,028
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Solution
The third proportional to 9,757.50 and 23,028 is: 54,346.79
Step by Step Solution
- Step 1: Write the proportion equation
9,757.50 : 23,028 = 23,028 : x - Step 2: Convert to fraction form
9,757.50/23,028 = 23,028/x - Step 3: Cross multiply
9,757.50x = 23,028 × 23,028 - Step 4: Simplify right side
9,757.50x = 530,288,784 - Step 5: Solve for x
x = 530,288,784/9,757.50 - Step 6: Final answer
x = 54,346.79
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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.