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Finding the Third Proportional to 36,398 and 54,647

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Solution

The third proportional to 36,398 and 54,647 is: 82,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,398 : 54,647 = 54,647 : x
  2. Step 2: Convert to fraction form
    36,398/54,647 = 54,647/x
  3. Step 3: Cross multiply
    36,398x = 54,647 × 54,647
  4. Step 4: Simplify right side
    36,398x = 2,986,294,609
  5. Step 5: Solve for x
    x = 2,986,294,609/36,398
  6. Step 6: Final answer
    x = 82,045.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.