Finding the Third Proportional to 51,774 and 76,932
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Solution
The third proportional to 51,774 and 76,932 is: 114,314.76
Step by Step Solution
- Step 1: Write the proportion equation
51,774 : 76,932 = 76,932 : x - Step 2: Convert to fraction form
51,774/76,932 = 76,932/x - Step 3: Cross multiply
51,774x = 76,932 × 76,932 - Step 4: Simplify right side
51,774x = 5,918,532,624 - Step 5: Solve for x
x = 5,918,532,624/51,774 - Step 6: Final answer
x = 114,314.76
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.