Finding the Third Proportional to 1,029 and 1,500
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Solution
The third proportional to 1,029 and 1,500 is: 2,186.59
Step by Step Solution
- Step 1: Write the proportion equation
1,029 : 1,500 = 1,500 : x - Step 2: Convert to fraction form
1,029/1,500 = 1,500/x - Step 3: Cross multiply
1,029x = 1,500 × 1,500 - Step 4: Simplify right side
1,029x = 2,250,000 - Step 5: Solve for x
x = 2,250,000/1,029 - Step 6: Final answer
x = 2,186.59
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.