Finding the Third Proportional to 1,024 and 1,358
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Solution
The third proportional to 1,024 and 1,358 is: 1,800.94
Step by Step Solution
- Step 1: Write the proportion equation
1,024 : 1,358 = 1,358 : x - Step 2: Convert to fraction form
1,024/1,358 = 1,358/x - Step 3: Cross multiply
1,024x = 1,358 × 1,358 - Step 4: Simplify right side
1,024x = 1,844,164 - Step 5: Solve for x
x = 1,844,164/1,024 - Step 6: Final answer
x = 1,800.94
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.