Finding the Third Proportional to 1,092.23 and 1,644.05
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Solution
The third proportional to 1,092.23 and 1,644.05 is: 2,474.64
Step by Step Solution
- Step 1: Write the proportion equation
1,092.23 : 1,644.05 = 1,644.05 : x - Step 2: Convert to fraction form
1,092.23/1,644.05 = 1,644.05/x - Step 3: Cross multiply
1,092.23x = 1,644.05 × 1,644.05 - Step 4: Simplify right side
1,092.23x = 2,702,890.13 - Step 5: Solve for x
x = 2,702,890.13/1,092.23 - Step 6: Final answer
x = 2,474.64
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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.