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Finding the Third Proportional to 22,112 and 47,930

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Solution

The third proportional to 22,112 and 47,930 is: 103,893.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,112 : 47,930 = 47,930 : x
  2. Step 2: Convert to fraction form
    22,112/47,930 = 47,930/x
  3. Step 3: Cross multiply
    22,112x = 47,930 × 47,930
  4. Step 4: Simplify right side
    22,112x = 2,297,284,900
  5. Step 5: Solve for x
    x = 2,297,284,900/22,112
  6. Step 6: Final answer
    x = 103,893.13

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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.