Finding the Third Proportional to 3,029.75 and 6,497.75
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Solution
The third proportional to 3,029.75 and 6,497.75 is: 13,935.39
Step by Step Solution
- Step 1: Write the proportion equation
3,029.75 : 6,497.75 = 6,497.75 : x - Step 2: Convert to fraction form
3,029.75/6,497.75 = 6,497.75/x - Step 3: Cross multiply
3,029.75x = 6,497.75 × 6,497.75 - Step 4: Simplify right side
3,029.75x = 42,220,755.06 - Step 5: Solve for x
x = 42,220,755.06/3,029.75 - Step 6: Final answer
x = 13,935.39
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.