Finding the Third Proportional to 51,835 and 77,739
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Solution
The third proportional to 51,835 and 77,739 is: 116,588.25
Step by Step Solution
- Step 1: Write the proportion equation
51,835 : 77,739 = 77,739 : x - Step 2: Convert to fraction form
51,835/77,739 = 77,739/x - Step 3: Cross multiply
51,835x = 77,739 × 77,739 - Step 4: Simplify right side
51,835x = 6,043,352,121 - Step 5: Solve for x
x = 6,043,352,121/51,835 - Step 6: Final answer
x = 116,588.25
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.