Finding the Third Proportional to 1,582.13 and 2,525.06
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Solution
The third proportional to 1,582.13 and 2,525.06 is: 4,029.99
Step by Step Solution
- Step 1: Write the proportion equation
1,582.13 : 2,525.06 = 2,525.06 : x - Step 2: Convert to fraction form
1,582.13/2,525.06 = 2,525.06/x - Step 3: Cross multiply
1,582.13x = 2,525.06 × 2,525.06 - Step 4: Simplify right side
1,582.13x = 6,375,940.63 - Step 5: Solve for x
x = 6,375,940.63/1,582.13 - Step 6: Final answer
x = 4,029.99
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.