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Finding the Third Proportional to 44,019 and 65,869

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Solution

The third proportional to 44,019 and 65,869 is: 98,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,019 : 65,869 = 65,869 : x
  2. Step 2: Convert to fraction form
    44,019/65,869 = 65,869/x
  3. Step 3: Cross multiply
    44,019x = 65,869 × 65,869
  4. Step 4: Simplify right side
    44,019x = 4,338,725,161
  5. Step 5: Solve for x
    x = 4,338,725,161/44,019
  6. Step 6: Final answer
    x = 98,564.83

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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.