Finding the Third Proportional to 7,006 and 14,336
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Solution
The third proportional to 7,006 and 14,336 is: 29,334.98
Step by Step Solution
- Step 1: Write the proportion equation
7,006 : 14,336 = 14,336 : x - Step 2: Convert to fraction form
7,006/14,336 = 14,336/x - Step 3: Cross multiply
7,006x = 14,336 × 14,336 - Step 4: Simplify right side
7,006x = 205,520,896 - Step 5: Solve for x
x = 205,520,896/7,006 - Step 6: Final answer
x = 29,334.98
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.