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Finding the Third Proportional to 11,596 and 17,447

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Solution

The third proportional to 11,596 and 17,447 is: 26,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596 : 17,447 = 17,447 : x
  2. Step 2: Convert to fraction form
    11,596/17,447 = 17,447/x
  3. Step 3: Cross multiply
    11,596x = 17,447 × 17,447
  4. Step 4: Simplify right side
    11,596x = 304,397,809
  5. Step 5: Solve for x
    x = 304,397,809/11,596
  6. Step 6: Final answer
    x = 26,250.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.