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Finding the Third Proportional to 20,206 and 44,083

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Solution

The third proportional to 20,206 and 44,083 is: 96,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206 : 44,083 = 44,083 : x
  2. Step 2: Convert to fraction form
    20,206/44,083 = 44,083/x
  3. Step 3: Cross multiply
    20,206x = 44,083 × 44,083
  4. Step 4: Simplify right side
    20,206x = 1,943,310,889
  5. Step 5: Solve for x
    x = 1,943,310,889/20,206
  6. Step 6: Final answer
    x = 96,174.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.