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Finding the Third Proportional to 19,027 and 41,851

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Solution

The third proportional to 19,027 and 41,851 is: 92,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,027 : 41,851 = 41,851 : x
  2. Step 2: Convert to fraction form
    19,027/41,851 = 41,851/x
  3. Step 3: Cross multiply
    19,027x = 41,851 × 41,851
  4. Step 4: Simplify right side
    19,027x = 1,751,506,201
  5. Step 5: Solve for x
    x = 1,751,506,201/19,027
  6. Step 6: Final answer
    x = 92,053.72

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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.