Finding the Third Proportional to 6,727.50 and 14,522
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Solution
The third proportional to 6,727.50 and 14,522 is: 31,347.23
Step by Step Solution
- Step 1: Write the proportion equation
6,727.50 : 14,522 = 14,522 : x - Step 2: Convert to fraction form
6,727.50/14,522 = 14,522/x - Step 3: Cross multiply
6,727.50x = 14,522 × 14,522 - Step 4: Simplify right side
6,727.50x = 210,888,484 - Step 5: Solve for x
x = 210,888,484/6,727.50 - Step 6: Final answer
x = 31,347.23
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.