Finding the Third Proportional to 7,698.75 and 11,497.13
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Solution
The third proportional to 7,698.75 and 11,497.13 is: 17,169.53
Step by Step Solution
- Step 1: Write the proportion equation
7,698.75 : 11,497.13 = 11,497.13 : x - Step 2: Convert to fraction form
7,698.75/11,497.13 = 11,497.13/x - Step 3: Cross multiply
7,698.75x = 11,497.13 × 11,497.13 - Step 4: Simplify right side
7,698.75x = 132,183,883.27 - Step 5: Solve for x
x = 132,183,883.27/7,698.75 - Step 6: Final answer
x = 17,169.53
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.