Finding the Third Proportional to 7,788 and 10,710
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Solution
The third proportional to 7,788 and 10,710 is: 14,728.31
Step by Step Solution
- Step 1: Write the proportion equation
7,788 : 10,710 = 10,710 : x - Step 2: Convert to fraction form
7,788/10,710 = 10,710/x - Step 3: Cross multiply
7,788x = 10,710 × 10,710 - Step 4: Simplify right side
7,788x = 114,704,100 - Step 5: Solve for x
x = 114,704,100/7,788 - Step 6: Final answer
x = 14,728.31
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.