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Finding the Third Proportional to 20,011 and 43,091

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Solution

The third proportional to 20,011 and 43,091 is: 92,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,011 : 43,091 = 43,091 : x
  2. Step 2: Convert to fraction form
    20,011/43,091 = 43,091/x
  3. Step 3: Cross multiply
    20,011x = 43,091 × 43,091
  4. Step 4: Simplify right side
    20,011x = 1,856,834,281
  5. Step 5: Solve for x
    x = 1,856,834,281/20,011
  6. Step 6: Final answer
    x = 92,790.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.