Finding the Third Proportional to 6,780 and 9,924
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Solution
The third proportional to 6,780 and 9,924 is: 14,525.93
Step by Step Solution
- Step 1: Write the proportion equation
6,780 : 9,924 = 9,924 : x - Step 2: Convert to fraction form
6,780/9,924 = 9,924/x - Step 3: Cross multiply
6,780x = 9,924 × 9,924 - Step 4: Simplify right side
6,780x = 98,485,776 - Step 5: Solve for x
x = 98,485,776/6,780 - Step 6: Final answer
x = 14,525.93
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.