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Finding the Third Proportional to 20,169 and 43,802

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Solution

The third proportional to 20,169 and 43,802 is: 95,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,169 : 43,802 = 43,802 : x
  2. Step 2: Convert to fraction form
    20,169/43,802 = 43,802/x
  3. Step 3: Cross multiply
    20,169x = 43,802 × 43,802
  4. Step 4: Simplify right side
    20,169x = 1,918,615,204
  5. Step 5: Solve for x
    x = 1,918,615,204/20,169
  6. Step 6: Final answer
    x = 95,126.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.