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Finding the Third Proportional to 20,229 and 43,743

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Solution

The third proportional to 20,229 and 43,743 is: 94,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229 : 43,743 = 43,743 : x
  2. Step 2: Convert to fraction form
    20,229/43,743 = 43,743/x
  3. Step 3: Cross multiply
    20,229x = 43,743 × 43,743
  4. Step 4: Simplify right side
    20,229x = 1,913,450,049
  5. Step 5: Solve for x
    x = 1,913,450,049/20,229
  6. Step 6: Final answer
    x = 94,589.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.