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Finding the Third Proportional to 11,661.75 and 17,713.13

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Solution

The third proportional to 11,661.75 and 17,713.13 is: 26,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.75 : 17,713.13 = 17,713.13 : x
  2. Step 2: Convert to fraction form
    11,661.75/17,713.13 = 17,713.13/x
  3. Step 3: Cross multiply
    11,661.75x = 17,713.13 × 17,713.13
  4. Step 4: Simplify right side
    11,661.75x = 313,754,797.27
  5. Step 5: Solve for x
    x = 313,754,797.27/11,661.75
  6. Step 6: Final answer
    x = 26,904.61

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