Finding the Third Proportional to 1,472.25 and 2,283.75
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Solution
The third proportional to 1,472.25 and 2,283.75 is: 3,542.55
Step by Step Solution
- Step 1: Write the proportion equation
1,472.25 : 2,283.75 = 2,283.75 : x - Step 2: Convert to fraction form
1,472.25/2,283.75 = 2,283.75/x - Step 3: Cross multiply
1,472.25x = 2,283.75 × 2,283.75 - Step 4: Simplify right side
1,472.25x = 5,215,514.06 - Step 5: Solve for x
x = 5,215,514.06/1,472.25 - Step 6: Final answer
x = 3,542.55
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.