Finding the Third Proportional to 5,206.75 and 8,327.75
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Solution
The third proportional to 5,206.75 and 8,327.75 is: 13,319.52
Step by Step Solution
- Step 1: Write the proportion equation
5,206.75 : 8,327.75 = 8,327.75 : x - Step 2: Convert to fraction form
5,206.75/8,327.75 = 8,327.75/x - Step 3: Cross multiply
5,206.75x = 8,327.75 × 8,327.75 - Step 4: Simplify right side
5,206.75x = 69,351,420.06 - Step 5: Solve for x
x = 69,351,420.06/5,206.75 - Step 6: Final answer
x = 13,319.52
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.