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Finding the Third Proportional to 11,722.22 and 18,037.69

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Solution

The third proportional to 11,722.22 and 18,037.69 is: 27,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.22 : 18,037.69 = 18,037.69 : x
  2. Step 2: Convert to fraction form
    11,722.22/18,037.69 = 18,037.69/x
  3. Step 3: Cross multiply
    11,722.22x = 18,037.69 × 18,037.69
  4. Step 4: Simplify right side
    11,722.22x = 325,358,170.35
  5. Step 5: Solve for x
    x = 325,358,170.35/11,722.22
  6. Step 6: Final answer
    x = 27,755.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.