Finding the Third Proportional to 965 and 1,389
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Solution
The third proportional to 965 and 1,389 is: 1,999.30
Step by Step Solution
- Step 1: Write the proportion equation
965 : 1,389 = 1,389 : x - Step 2: Convert to fraction form
965/1,389 = 1,389/x - Step 3: Cross multiply
965x = 1,389 × 1,389 - Step 4: Simplify right side
965x = 1,929,321 - Step 5: Solve for x
x = 1,929,321/965 - Step 6: Final answer
x = 1,999.30
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.