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Finding the Third Proportional to 11,738.25 and 17,612.44

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Solution

The third proportional to 11,738.25 and 17,612.44 is: 26,426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.25 : 17,612.44 = 17,612.44 : x
  2. Step 2: Convert to fraction form
    11,738.25/17,612.44 = 17,612.44/x
  3. Step 3: Cross multiply
    11,738.25x = 17,612.44 × 17,612.44
  4. Step 4: Simplify right side
    11,738.25x = 310,197,954.69
  5. Step 5: Solve for x
    x = 310,197,954.69/11,738.25
  6. Step 6: Final answer
    x = 26,426.25

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Why These Related Problems?

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