Finding the Third Proportional to 5,206 and 8,002
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Solution
The third proportional to 5,206 and 8,002 is: 12,299.66
Step by Step Solution
- Step 1: Write the proportion equation
5,206 : 8,002 = 8,002 : x - Step 2: Convert to fraction form
5,206/8,002 = 8,002/x - Step 3: Cross multiply
5,206x = 8,002 × 8,002 - Step 4: Simplify right side
5,206x = 64,032,004 - Step 5: Solve for x
x = 64,032,004/5,206 - Step 6: Final answer
x = 12,299.66
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.