Finding the Third Proportional to 2,024 and 4,748
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Solution
The third proportional to 2,024 and 4,748 is: 11,138.09
Step by Step Solution
- Step 1: Write the proportion equation
2,024 : 4,748 = 4,748 : x - Step 2: Convert to fraction form
2,024/4,748 = 4,748/x - Step 3: Cross multiply
2,024x = 4,748 × 4,748 - Step 4: Simplify right side
2,024x = 22,543,504 - Step 5: Solve for x
x = 22,543,504/2,024 - Step 6: Final answer
x = 11,138.09
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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.