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Finding the Third Proportional to 26,636 and 57,919

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Solution

The third proportional to 26,636 and 57,919 is: 125,942.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,636 : 57,919 = 57,919 : x
  2. Step 2: Convert to fraction form
    26,636/57,919 = 57,919/x
  3. Step 3: Cross multiply
    26,636x = 57,919 × 57,919
  4. Step 4: Simplify right side
    26,636x = 3,354,610,561
  5. Step 5: Solve for x
    x = 3,354,610,561/26,636
  6. Step 6: Final answer
    x = 125,942.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.