Finding the Third Proportional to 51,882 and 76,101.75
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Solution
The third proportional to 51,882 and 76,101.75 is: 111,627.85
Step by Step Solution
- Step 1: Write the proportion equation
51,882 : 76,101.75 = 76,101.75 : x - Step 2: Convert to fraction form
51,882/76,101.75 = 76,101.75/x - Step 3: Cross multiply
51,882x = 76,101.75 × 76,101.75 - Step 4: Simplify right side
51,882x = 5,791,476,353.06 - Step 5: Solve for x
x = 5,791,476,353.06/51,882 - Step 6: Final answer
x = 111,627.85
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.