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Finding the Third Proportional to 5,286 and 11,463

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Solution

The third proportional to 5,286 and 11,463 is: 24,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286 : 11,463 = 11,463 : x
  2. Step 2: Convert to fraction form
    5,286/11,463 = 11,463/x
  3. Step 3: Cross multiply
    5,286x = 11,463 × 11,463
  4. Step 4: Simplify right side
    5,286x = 131,400,369
  5. Step 5: Solve for x
    x = 131,400,369/5,286
  6. Step 6: Final answer
    x = 24,858.19

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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.