Finding the Third Proportional to 14,846 and 32,116
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Solution
The third proportional to 14,846 and 32,116 is: 69,475.78
Step by Step Solution
- Step 1: Write the proportion equation
14,846 : 32,116 = 32,116 : x - Step 2: Convert to fraction form
14,846/32,116 = 32,116/x - Step 3: Cross multiply
14,846x = 32,116 × 32,116 - Step 4: Simplify right side
14,846x = 1,031,437,456 - Step 5: Solve for x
x = 1,031,437,456/14,846 - Step 6: Final answer
x = 69,475.78
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.