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Finding the Third Proportional to 11,367 and 17,309.25

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Solution

The third proportional to 11,367 and 17,309.25 is: 26,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367 : 17,309.25 = 17,309.25 : x
  2. Step 2: Convert to fraction form
    11,367/17,309.25 = 17,309.25/x
  3. Step 3: Cross multiply
    11,367x = 17,309.25 × 17,309.25
  4. Step 4: Simplify right side
    11,367x = 299,610,135.56
  5. Step 5: Solve for x
    x = 299,610,135.56/11,367
  6. Step 6: Final answer
    x = 26,357.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.