Finding the Third Proportional to 54,006 and 72,704
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Solution
The third proportional to 54,006 and 72,704 is: 97,875.64
Step by Step Solution
- Step 1: Write the proportion equation
54,006 : 72,704 = 72,704 : x - Step 2: Convert to fraction form
54,006/72,704 = 72,704/x - Step 3: Cross multiply
54,006x = 72,704 × 72,704 - Step 4: Simplify right side
54,006x = 5,285,871,616 - Step 5: Solve for x
x = 5,285,871,616/54,006 - Step 6: Final answer
x = 97,875.64
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.