Finding the Third Proportional to 829 and 1,300
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Solution
The third proportional to 829 and 1,300 is: 2,038.60
Step by Step Solution
- Step 1: Write the proportion equation
829 : 1,300 = 1,300 : x - Step 2: Convert to fraction form
829/1,300 = 1,300/x - Step 3: Cross multiply
829x = 1,300 × 1,300 - Step 4: Simplify right side
829x = 1,690,000 - Step 5: Solve for x
x = 1,690,000/829 - Step 6: Final answer
x = 2,038.60
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.