Finding the Third Proportional to 1,204.13 and 1,823.63
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Solution
The third proportional to 1,204.13 and 1,823.63 is: 2,761.85
Step by Step Solution
- Step 1: Write the proportion equation
1,204.13 : 1,823.63 = 1,823.63 : x - Step 2: Convert to fraction form
1,204.13/1,823.63 = 1,823.63/x - Step 3: Cross multiply
1,204.13x = 1,823.63 × 1,823.63 - Step 4: Simplify right side
1,204.13x = 3,325,608.14 - Step 5: Solve for x
x = 3,325,608.14/1,204.13 - Step 6: Final answer
x = 2,761.85
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.