Finding the Third Proportional to 1,210 and 2,004
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Solution
The third proportional to 1,210 and 2,004 is: 3,319.02
Step by Step Solution
- Step 1: Write the proportion equation
1,210 : 2,004 = 2,004 : x - Step 2: Convert to fraction form
1,210/2,004 = 2,004/x - Step 3: Cross multiply
1,210x = 2,004 × 2,004 - Step 4: Simplify right side
1,210x = 4,016,016 - Step 5: Solve for x
x = 4,016,016/1,210 - Step 6: Final answer
x = 3,319.02
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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.