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Finding the Third Proportional to 11,291 and 17,239

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Solution

The third proportional to 11,291 and 17,239 is: 26,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291 : 17,239 = 17,239 : x
  2. Step 2: Convert to fraction form
    11,291/17,239 = 17,239/x
  3. Step 3: Cross multiply
    11,291x = 17,239 × 17,239
  4. Step 4: Simplify right side
    11,291x = 297,183,121
  5. Step 5: Solve for x
    x = 297,183,121/11,291
  6. Step 6: Final answer
    x = 26,320.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.