Finding the Third Proportional to 6,507.84 and 9,849.09
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Solution
The third proportional to 6,507.84 and 9,849.09 is: 14,905.80
Step by Step Solution
- Step 1: Write the proportion equation
6,507.84 : 9,849.09 = 9,849.09 : x - Step 2: Convert to fraction form
6,507.84/9,849.09 = 9,849.09/x - Step 3: Cross multiply
6,507.84x = 9,849.09 × 9,849.09 - Step 4: Simplify right side
6,507.84x = 97,004,647.70 - Step 5: Solve for x
x = 97,004,647.70/6,507.84 - Step 6: Final answer
x = 14,905.80
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.