Finding the Third Proportional to 10,118 and 21,964
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Solution
The third proportional to 10,118 and 21,964 is: 47,679.12
Step by Step Solution
- Step 1: Write the proportion equation
10,118 : 21,964 = 21,964 : x - Step 2: Convert to fraction form
10,118/21,964 = 21,964/x - Step 3: Cross multiply
10,118x = 21,964 × 21,964 - Step 4: Simplify right side
10,118x = 482,417,296 - Step 5: Solve for x
x = 482,417,296/10,118 - Step 6: Final answer
x = 47,679.12
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.