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Finding the Third Proportional to 44,024 and 65,874

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Solution

The third proportional to 44,024 and 65,874 is: 98,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,024 : 65,874 = 65,874 : x
  2. Step 2: Convert to fraction form
    44,024/65,874 = 65,874/x
  3. Step 3: Cross multiply
    44,024x = 65,874 × 65,874
  4. Step 4: Simplify right side
    44,024x = 4,339,383,876
  5. Step 5: Solve for x
    x = 4,339,383,876/44,024
  6. Step 6: Final answer
    x = 98,568.60

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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.