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Finding the Third Proportional to 20,851 and 43,159

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Solution

The third proportional to 20,851 and 43,159 is: 89,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851 : 43,159 = 43,159 : x
  2. Step 2: Convert to fraction form
    20,851/43,159 = 43,159/x
  3. Step 3: Cross multiply
    20,851x = 43,159 × 43,159
  4. Step 4: Simplify right side
    20,851x = 1,862,699,281
  5. Step 5: Solve for x
    x = 1,862,699,281/20,851
  6. Step 6: Final answer
    x = 89,333.81

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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.