Finding the Third Proportional to 53,583 and 75,478
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Solution
The third proportional to 53,583 and 75,478 is: 106,319.70
Step by Step Solution
- Step 1: Write the proportion equation
53,583 : 75,478 = 75,478 : x - Step 2: Convert to fraction form
53,583/75,478 = 75,478/x - Step 3: Cross multiply
53,583x = 75,478 × 75,478 - Step 4: Simplify right side
53,583x = 5,696,928,484 - Step 5: Solve for x
x = 5,696,928,484/53,583 - Step 6: Final answer
x = 106,319.70
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.