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Finding the Third Proportional to 20,107 and 43,237

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Solution

The third proportional to 20,107 and 43,237 is: 92,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107 : 43,237 = 43,237 : x
  2. Step 2: Convert to fraction form
    20,107/43,237 = 43,237/x
  3. Step 3: Cross multiply
    20,107x = 43,237 × 43,237
  4. Step 4: Simplify right side
    20,107x = 1,869,438,169
  5. Step 5: Solve for x
    x = 1,869,438,169/20,107
  6. Step 6: Final answer
    x = 92,974.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.