Finding the Third Proportional to 1,593.84 and 2,424.09
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Solution
The third proportional to 1,593.84 and 2,424.09 is: 3,686.83
Step by Step Solution
- Step 1: Write the proportion equation
1,593.84 : 2,424.09 = 2,424.09 : x - Step 2: Convert to fraction form
1,593.84/2,424.09 = 2,424.09/x - Step 3: Cross multiply
1,593.84x = 2,424.09 × 2,424.09 - Step 4: Simplify right side
1,593.84x = 5,876,230.51 - Step 5: Solve for x
x = 5,876,230.51/1,593.84 - Step 6: Final answer
x = 3,686.83
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.