Finding the Third Proportional to 5,744.25 and 8,781.75
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Solution
The third proportional to 5,744.25 and 8,781.75 is: 13,425.45
Step by Step Solution
- Step 1: Write the proportion equation
5,744.25 : 8,781.75 = 8,781.75 : x - Step 2: Convert to fraction form
5,744.25/8,781.75 = 8,781.75/x - Step 3: Cross multiply
5,744.25x = 8,781.75 × 8,781.75 - Step 4: Simplify right side
5,744.25x = 77,119,133.06 - Step 5: Solve for x
x = 77,119,133.06/5,744.25 - Step 6: Final answer
x = 13,425.45
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.