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Finding the Third Proportional to 22,286 and 52,799

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Solution

The third proportional to 22,286 and 52,799 is: 125,089.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286 : 52,799 = 52,799 : x
  2. Step 2: Convert to fraction form
    22,286/52,799 = 52,799/x
  3. Step 3: Cross multiply
    22,286x = 52,799 × 52,799
  4. Step 4: Simplify right side
    22,286x = 2,787,734,401
  5. Step 5: Solve for x
    x = 2,787,734,401/22,286
  6. Step 6: Final answer
    x = 125,089.04

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.