Finding the Third Proportional to 14,953.50 and 32,384
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Solution
The third proportional to 14,953.50 and 32,384 is: 70,132.31
Step by Step Solution
- Step 1: Write the proportion equation
14,953.50 : 32,384 = 32,384 : x - Step 2: Convert to fraction form
14,953.50/32,384 = 32,384/x - Step 3: Cross multiply
14,953.50x = 32,384 × 32,384 - Step 4: Simplify right side
14,953.50x = 1,048,723,456 - Step 5: Solve for x
x = 1,048,723,456/14,953.50 - Step 6: Final answer
x = 70,132.31
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.