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Finding the Third Proportional to 38,200 and 49,913

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Solution

The third proportional to 38,200 and 49,913 is: 65,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200 : 49,913 = 49,913 : x
  2. Step 2: Convert to fraction form
    38,200/49,913 = 49,913/x
  3. Step 3: Cross multiply
    38,200x = 49,913 × 49,913
  4. Step 4: Simplify right side
    38,200x = 2,491,307,569
  5. Step 5: Solve for x
    x = 2,491,307,569/38,200
  6. Step 6: Final answer
    x = 65,217.48

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.