Finding the Third Proportional to 33,412 and 46,714
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Solution
The third proportional to 33,412 and 46,714 is: 65,311.80
Step by Step Solution
- Step 1: Write the proportion equation
33,412 : 46,714 = 46,714 : x - Step 2: Convert to fraction form
33,412/46,714 = 46,714/x - Step 3: Cross multiply
33,412x = 46,714 × 46,714 - Step 4: Simplify right side
33,412x = 2,182,197,796 - Step 5: Solve for x
x = 2,182,197,796/33,412 - Step 6: Final answer
x = 65,311.80
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.