Finding the Third Proportional to 530 and 1,184
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Solution
The third proportional to 530 and 1,184 is: 2,645.01
Step by Step Solution
- Step 1: Write the proportion equation
530 : 1,184 = 1,184 : x - Step 2: Convert to fraction form
530/1,184 = 1,184/x - Step 3: Cross multiply
530x = 1,184 × 1,184 - Step 4: Simplify right side
530x = 1,401,856 - Step 5: Solve for x
x = 1,401,856/530 - Step 6: Final answer
x = 2,645.01
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.