Finding the Third Proportional to 1,214.63 and 1,822.19
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Solution
The third proportional to 1,214.63 and 1,822.19 is: 2,733.66
Step by Step Solution
- Step 1: Write the proportion equation
1,214.63 : 1,822.19 = 1,822.19 : x - Step 2: Convert to fraction form
1,214.63/1,822.19 = 1,822.19/x - Step 3: Cross multiply
1,214.63x = 1,822.19 × 1,822.19 - Step 4: Simplify right side
1,214.63x = 3,320,367.29 - Step 5: Solve for x
x = 3,320,367.29/1,214.63 - Step 6: Final answer
x = 2,733.66
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.