Finding the Third Proportional to 6,509.74 and 13,737.09
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Solution
The third proportional to 6,509.74 and 13,737.09 is: 28,988.51
Step by Step Solution
- Step 1: Write the proportion equation
6,509.74 : 13,737.09 = 13,737.09 : x - Step 2: Convert to fraction form
6,509.74/13,737.09 = 13,737.09/x - Step 3: Cross multiply
6,509.74x = 13,737.09 × 13,737.09 - Step 4: Simplify right side
6,509.74x = 188,707,744.70 - Step 5: Solve for x
x = 188,707,744.70/6,509.74 - Step 6: Final answer
x = 28,988.51
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.