Finding the Third Proportional to 42,296 and 66,956
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Solution
The third proportional to 42,296 and 66,956 is: 105,993.61
Step by Step Solution
- Step 1: Write the proportion equation
42,296 : 66,956 = 66,956 : x - Step 2: Convert to fraction form
42,296/66,956 = 66,956/x - Step 3: Cross multiply
42,296x = 66,956 × 66,956 - Step 4: Simplify right side
42,296x = 4,483,105,936 - Step 5: Solve for x
x = 4,483,105,936/42,296 - Step 6: Final answer
x = 105,993.61
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.