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Finding the Third Proportional to 20,085 and 42,949

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Solution

The third proportional to 20,085 and 42,949 is: 91,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,085 : 42,949 = 42,949 : x
  2. Step 2: Convert to fraction form
    20,085/42,949 = 42,949/x
  3. Step 3: Cross multiply
    20,085x = 42,949 × 42,949
  4. Step 4: Simplify right side
    20,085x = 1,844,616,601
  5. Step 5: Solve for x
    x = 1,844,616,601/20,085
  6. Step 6: Final answer
    x = 91,840.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.