Finding the Third Proportional to 8,069.63 and 10,822.99
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Solution
The third proportional to 8,069.63 and 10,822.99 is: 14,515.81
Step by Step Solution
- Step 1: Write the proportion equation
8,069.63 : 10,822.99 = 10,822.99 : x - Step 2: Convert to fraction form
8,069.63/10,822.99 = 10,822.99/x - Step 3: Cross multiply
8,069.63x = 10,822.99 × 10,822.99 - Step 4: Simplify right side
8,069.63x = 117,137,159.89 - Step 5: Solve for x
x = 117,137,159.89/8,069.63 - Step 6: Final answer
x = 14,515.81
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.