Finding the Third Proportional to 7,200 and 10,772
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Solution
The third proportional to 7,200 and 10,772 is: 16,116.11
Step by Step Solution
- Step 1: Write the proportion equation
7,200 : 10,772 = 10,772 : x - Step 2: Convert to fraction form
7,200/10,772 = 10,772/x - Step 3: Cross multiply
7,200x = 10,772 × 10,772 - Step 4: Simplify right side
7,200x = 116,035,984 - Step 5: Solve for x
x = 116,035,984/7,200 - Step 6: Final answer
x = 16,116.11
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.