Finding the Third Proportional to 7,574 and 16,048
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Solution
The third proportional to 7,574 and 16,048 is: 34,002.94
Step by Step Solution
- Step 1: Write the proportion equation
7,574 : 16,048 = 16,048 : x - Step 2: Convert to fraction form
7,574/16,048 = 16,048/x - Step 3: Cross multiply
7,574x = 16,048 × 16,048 - Step 4: Simplify right side
7,574x = 257,538,304 - Step 5: Solve for x
x = 257,538,304/7,574 - Step 6: Final answer
x = 34,002.94
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.