Finding the Third Proportional to 1,875 and 3,900
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Solution
The third proportional to 1,875 and 3,900 is: 8,112
Step by Step Solution
- Step 1: Write the proportion equation
1,875 : 3,900 = 3,900 : x - Step 2: Convert to fraction form
1,875/3,900 = 3,900/x - Step 3: Cross multiply
1,875x = 3,900 × 3,900 - Step 4: Simplify right side
1,875x = 15,210,000 - Step 5: Solve for x
x = 15,210,000/1,875 - Step 6: Final answer
x = 8,112
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.