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Finding the Third Proportional to 20,896 and 43,172

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Solution

The third proportional to 20,896 and 43,172 is: 89,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896 : 43,172 = 43,172 : x
  2. Step 2: Convert to fraction form
    20,896/43,172 = 43,172/x
  3. Step 3: Cross multiply
    20,896x = 43,172 × 43,172
  4. Step 4: Simplify right side
    20,896x = 1,863,821,584
  5. Step 5: Solve for x
    x = 1,863,821,584/20,896
  6. Step 6: Final answer
    x = 89,195.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.