Finding the Third Proportional to 7,776 and 12,852
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Solution
The third proportional to 7,776 and 12,852 is: 21,241.50
Step by Step Solution
- Step 1: Write the proportion equation
7,776 : 12,852 = 12,852 : x - Step 2: Convert to fraction form
7,776/12,852 = 12,852/x - Step 3: Cross multiply
7,776x = 12,852 × 12,852 - Step 4: Simplify right side
7,776x = 165,173,904 - Step 5: Solve for x
x = 165,173,904/7,776 - Step 6: Final answer
x = 21,241.50
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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.