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Finding the Third Proportional to 20,071 and 41,735

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Solution

The third proportional to 20,071 and 41,735 is: 86,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071 : 41,735 = 41,735 : x
  2. Step 2: Convert to fraction form
    20,071/41,735 = 41,735/x
  3. Step 3: Cross multiply
    20,071x = 41,735 × 41,735
  4. Step 4: Simplify right side
    20,071x = 1,741,810,225
  5. Step 5: Solve for x
    x = 1,741,810,225/20,071
  6. Step 6: Final answer
    x = 86,782.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.