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Finding the Third Proportional to 26,286 and 53,799

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Solution

The third proportional to 26,286 and 53,799 is: 110,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,286 : 53,799 = 53,799 : x
  2. Step 2: Convert to fraction form
    26,286/53,799 = 53,799/x
  3. Step 3: Cross multiply
    26,286x = 53,799 × 53,799
  4. Step 4: Simplify right side
    26,286x = 2,894,332,401
  5. Step 5: Solve for x
    x = 2,894,332,401/26,286
  6. Step 6: Final answer
    x = 110,109.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.