Finding the Third Proportional to 47,296 and 74,160
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Solution
The third proportional to 47,296 and 74,160 is: 116,282.68
Step by Step Solution
- Step 1: Write the proportion equation
47,296 : 74,160 = 74,160 : x - Step 2: Convert to fraction form
47,296/74,160 = 74,160/x - Step 3: Cross multiply
47,296x = 74,160 × 74,160 - Step 4: Simplify right side
47,296x = 5,499,705,600 - Step 5: Solve for x
x = 5,499,705,600/47,296 - Step 6: Final answer
x = 116,282.68
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.