Finding the Third Proportional to 1,012.50 and 2,250
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Solution
The third proportional to 1,012.50 and 2,250 is: 5,000
Step by Step Solution
- Step 1: Write the proportion equation
1,012.50 : 2,250 = 2,250 : x - Step 2: Convert to fraction form
1,012.50/2,250 = 2,250/x - Step 3: Cross multiply
1,012.50x = 2,250 × 2,250 - Step 4: Simplify right side
1,012.50x = 5,062,500 - Step 5: Solve for x
x = 5,062,500/1,012.50 - Step 6: Final answer
x = 5,000
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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.