Finding the Third Proportional to 9,776 and 13,929
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Solution
The third proportional to 9,776 and 13,929 is: 19,846.26
Step by Step Solution
- Step 1: Write the proportion equation
9,776 : 13,929 = 13,929 : x - Step 2: Convert to fraction form
9,776/13,929 = 13,929/x - Step 3: Cross multiply
9,776x = 13,929 × 13,929 - Step 4: Simplify right side
9,776x = 194,017,041 - Step 5: Solve for x
x = 194,017,041/9,776 - Step 6: Final answer
x = 19,846.26
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.