Finding the Third Proportional to 5,216 and 10,972
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Solution
The third proportional to 5,216 and 10,972 is: 23,079.90
Step by Step Solution
- Step 1: Write the proportion equation
5,216 : 10,972 = 10,972 : x - Step 2: Convert to fraction form
5,216/10,972 = 10,972/x - Step 3: Cross multiply
5,216x = 10,972 × 10,972 - Step 4: Simplify right side
5,216x = 120,384,784 - Step 5: Solve for x
x = 120,384,784/5,216 - Step 6: Final answer
x = 23,079.90
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.