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Finding the Third Proportional to 26,266 and 57,635

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Solution

The third proportional to 26,266 and 57,635 is: 126,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,266 : 57,635 = 57,635 : x
  2. Step 2: Convert to fraction form
    26,266/57,635 = 57,635/x
  3. Step 3: Cross multiply
    26,266x = 57,635 × 57,635
  4. Step 4: Simplify right side
    26,266x = 3,321,793,225
  5. Step 5: Solve for x
    x = 3,321,793,225/26,266
  6. Step 6: Final answer
    x = 126,467.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.