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Finding the Third Proportional to 5,238 and 11,799

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Solution

The third proportional to 5,238 and 11,799 is: 26,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238 : 11,799 = 11,799 : x
  2. Step 2: Convert to fraction form
    5,238/11,799 = 11,799/x
  3. Step 3: Cross multiply
    5,238x = 11,799 × 11,799
  4. Step 4: Simplify right side
    5,238x = 139,216,401
  5. Step 5: Solve for x
    x = 139,216,401/5,238
  6. Step 6: Final answer
    x = 26,578.16

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.