Finding the Third Proportional to 5,006 and 7,466
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Solution
The third proportional to 5,006 and 7,466 is: 11,134.87
Step by Step Solution
- Step 1: Write the proportion equation
5,006 : 7,466 = 7,466 : x - Step 2: Convert to fraction form
5,006/7,466 = 7,466/x - Step 3: Cross multiply
5,006x = 7,466 × 7,466 - Step 4: Simplify right side
5,006x = 55,741,156 - Step 5: Solve for x
x = 55,741,156/5,006 - Step 6: Final answer
x = 11,134.87
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.