Finding the Third Proportional to 1,028.06 and 2,414.06
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Solution
The third proportional to 1,028.06 and 2,414.06 is: 5,668.62
Step by Step Solution
- Step 1: Write the proportion equation
1,028.06 : 2,414.06 = 2,414.06 : x - Step 2: Convert to fraction form
1,028.06/2,414.06 = 2,414.06/x - Step 3: Cross multiply
1,028.06x = 2,414.06 × 2,414.06 - Step 4: Simplify right side
1,028.06x = 5,827,697.75 - Step 5: Solve for x
x = 5,827,697.75/1,028.06 - Step 6: Final answer
x = 5,668.62
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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.