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Finding the Third Proportional to 20,930 and 45,991

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Solution

The third proportional to 20,930 and 45,991 is: 101,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930 : 45,991 = 45,991 : x
  2. Step 2: Convert to fraction form
    20,930/45,991 = 45,991/x
  3. Step 3: Cross multiply
    20,930x = 45,991 × 45,991
  4. Step 4: Simplify right side
    20,930x = 2,115,172,081
  5. Step 5: Solve for x
    x = 2,115,172,081/20,930
  6. Step 6: Final answer
    x = 101,059.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.