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Finding the Third Proportional to 20,399 and 44,306

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Solution

The third proportional to 20,399 and 44,306 is: 96,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,399 : 44,306 = 44,306 : x
  2. Step 2: Convert to fraction form
    20,399/44,306 = 44,306/x
  3. Step 3: Cross multiply
    20,399x = 44,306 × 44,306
  4. Step 4: Simplify right side
    20,399x = 1,963,021,636
  5. Step 5: Solve for x
    x = 1,963,021,636/20,399
  6. Step 6: Final answer
    x = 96,231.27

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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.