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Finding the Third Proportional to 4,759 and 11,239

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Solution

The third proportional to 4,759 and 11,239 is: 26,542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759 : 11,239 = 11,239 : x
  2. Step 2: Convert to fraction form
    4,759/11,239 = 11,239/x
  3. Step 3: Cross multiply
    4,759x = 11,239 × 11,239
  4. Step 4: Simplify right side
    4,759x = 126,315,121
  5. Step 5: Solve for x
    x = 126,315,121/4,759
  6. Step 6: Final answer
    x = 26,542.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.