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Finding the Third Proportional to 11,429.88 and 17,144.88

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Solution

The third proportional to 11,429.88 and 17,144.88 is: 25,717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.88 : 17,144.88 = 17,144.88 : x
  2. Step 2: Convert to fraction form
    11,429.88/17,144.88 = 17,144.88/x
  3. Step 3: Cross multiply
    11,429.88x = 17,144.88 × 17,144.88
  4. Step 4: Simplify right side
    11,429.88x = 293,946,738.77
  5. Step 5: Solve for x
    x = 293,946,738.77/11,429.88
  6. Step 6: Final answer
    x = 25,717.41

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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.