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Finding the Third Proportional to 11,467.83 and 17,723.60

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Solution

The third proportional to 11,467.83 and 17,723.60 is: 27,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.83 : 17,723.60 = 17,723.60 : x
  2. Step 2: Convert to fraction form
    11,467.83/17,723.60 = 17,723.60/x
  3. Step 3: Cross multiply
    11,467.83x = 17,723.60 × 17,723.60
  4. Step 4: Simplify right side
    11,467.83x = 314,126,052.35
  5. Step 5: Solve for x
    x = 314,126,052.35/11,467.83
  6. Step 6: Final answer
    x = 27,391.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.