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Finding the Third Proportional to 20,326 and 31,299

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Solution

The third proportional to 20,326 and 31,299 is: 48,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,326 : 31,299 = 31,299 : x
  2. Step 2: Convert to fraction form
    20,326/31,299 = 31,299/x
  3. Step 3: Cross multiply
    20,326x = 31,299 × 31,299
  4. Step 4: Simplify right side
    20,326x = 979,627,401
  5. Step 5: Solve for x
    x = 979,627,401/20,326
  6. Step 6: Final answer
    x = 48,195.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.