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Finding the Third Proportional to 13,900 and 30,338

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Solution

The third proportional to 13,900 and 30,338 is: 66,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900 : 30,338 = 30,338 : x
  2. Step 2: Convert to fraction form
    13,900/30,338 = 30,338/x
  3. Step 3: Cross multiply
    13,900x = 30,338 × 30,338
  4. Step 4: Simplify right side
    13,900x = 920,394,244
  5. Step 5: Solve for x
    x = 920,394,244/13,900
  6. Step 6: Final answer
    x = 66,215.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.