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Finding the Third Proportional to 5,250 and 11,286

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Solution

The third proportional to 5,250 and 11,286 is: 24,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250 : 11,286 = 11,286 : x
  2. Step 2: Convert to fraction form
    5,250/11,286 = 11,286/x
  3. Step 3: Cross multiply
    5,250x = 11,286 × 11,286
  4. Step 4: Simplify right side
    5,250x = 127,373,796
  5. Step 5: Solve for x
    x = 127,373,796/5,250
  6. Step 6: Final answer
    x = 24,261.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.