Finding the Third Proportional to 564 and 967.50
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Solution
The third proportional to 564 and 967.50 is: 1,659.67
Step by Step Solution
- Step 1: Write the proportion equation
564 : 967.50 = 967.50 : x - Step 2: Convert to fraction form
564/967.50 = 967.50/x - Step 3: Cross multiply
564x = 967.50 × 967.50 - Step 4: Simplify right side
564x = 936,056.25 - Step 5: Solve for x
x = 936,056.25/564 - Step 6: Final answer
x = 1,659.67
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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.