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Finding the Third Proportional to 19,247 and 42,866

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Solution

The third proportional to 19,247 and 42,866 is: 95,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,247 : 42,866 = 42,866 : x
  2. Step 2: Convert to fraction form
    19,247/42,866 = 42,866/x
  3. Step 3: Cross multiply
    19,247x = 42,866 × 42,866
  4. Step 4: Simplify right side
    19,247x = 1,837,493,956
  5. Step 5: Solve for x
    x = 1,837,493,956/19,247
  6. Step 6: Final answer
    x = 95,469.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.