Finding the Third Proportional to 1,580.06 and 2,213.44
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Solution
The third proportional to 1,580.06 and 2,213.44 is: 3,100.70
Step by Step Solution
- Step 1: Write the proportion equation
1,580.06 : 2,213.44 = 2,213.44 : x - Step 2: Convert to fraction form
1,580.06/2,213.44 = 2,213.44/x - Step 3: Cross multiply
1,580.06x = 2,213.44 × 2,213.44 - Step 4: Simplify right side
1,580.06x = 4,899,305.57 - Step 5: Solve for x
x = 4,899,305.57/1,580.06 - Step 6: Final answer
x = 3,100.70
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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.