Finding the Third Proportional to 38,462 and 56,233
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Solution
The third proportional to 38,462 and 56,233 is: 82,214.92
Step by Step Solution
- Step 1: Write the proportion equation
38,462 : 56,233 = 56,233 : x - Step 2: Convert to fraction form
38,462/56,233 = 56,233/x - Step 3: Cross multiply
38,462x = 56,233 × 56,233 - Step 4: Simplify right side
38,462x = 3,162,150,289 - Step 5: Solve for x
x = 3,162,150,289/38,462 - Step 6: Final answer
x = 82,214.92
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.