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Finding the Third Proportional to 20,179 and 39,841

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Solution

The third proportional to 20,179 and 39,841 is: 78,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179 : 39,841 = 39,841 : x
  2. Step 2: Convert to fraction form
    20,179/39,841 = 39,841/x
  3. Step 3: Cross multiply
    20,179x = 39,841 × 39,841
  4. Step 4: Simplify right side
    20,179x = 1,587,305,281
  5. Step 5: Solve for x
    x = 1,587,305,281/20,179
  6. Step 6: Final answer
    x = 78,661.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.