Finding the Third Proportional to 14,056 and 32,011
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Solution
The third proportional to 14,056 and 32,011 is: 72,901.55
Step by Step Solution
- Step 1: Write the proportion equation
14,056 : 32,011 = 32,011 : x - Step 2: Convert to fraction form
14,056/32,011 = 32,011/x - Step 3: Cross multiply
14,056x = 32,011 × 32,011 - Step 4: Simplify right side
14,056x = 1,024,704,121 - Step 5: Solve for x
x = 1,024,704,121/14,056 - Step 6: Final answer
x = 72,901.55
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Why These Related Problems?
These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.