Finding the Third Proportional to 7,574 and 9,723
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Solution
The third proportional to 7,574 and 9,723 is: 12,481.74
Step by Step Solution
- Step 1: Write the proportion equation
7,574 : 9,723 = 9,723 : x - Step 2: Convert to fraction form
7,574/9,723 = 9,723/x - Step 3: Cross multiply
7,574x = 9,723 × 9,723 - Step 4: Simplify right side
7,574x = 94,536,729 - Step 5: Solve for x
x = 94,536,729/7,574 - Step 6: Final answer
x = 12,481.74
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Why These Related Problems?
These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.