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Finding the Third Proportional to 11,729.39 and 17,609.48

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Solution

The third proportional to 11,729.39 and 17,609.48 is: 26,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.39 : 17,609.48 = 17,609.48 : x
  2. Step 2: Convert to fraction form
    11,729.39/17,609.48 = 17,609.48/x
  3. Step 3: Cross multiply
    11,729.39x = 17,609.48 × 17,609.48
  4. Step 4: Simplify right side
    11,729.39x = 310,093,939.95
  5. Step 5: Solve for x
    x = 310,093,939.95/11,729.39
  6. Step 6: Final answer
    x = 26,437.34

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