Finding the Third Proportional to 1,574 and 2,386
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Solution
The third proportional to 1,574 and 2,386 is: 3,616.90
Step by Step Solution
- Step 1: Write the proportion equation
1,574 : 2,386 = 2,386 : x - Step 2: Convert to fraction form
1,574/2,386 = 2,386/x - Step 3: Cross multiply
1,574x = 2,386 × 2,386 - Step 4: Simplify right side
1,574x = 5,692,996 - Step 5: Solve for x
x = 5,692,996/1,574 - Step 6: Final answer
x = 3,616.90
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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.