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Finding the Third Proportional to 17,906.06 and 24,588.56

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Solution

The third proportional to 17,906.06 and 24,588.56 is: 33,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.06 : 24,588.56 = 24,588.56 : x
  2. Step 2: Convert to fraction form
    17,906.06/24,588.56 = 24,588.56/x
  3. Step 3: Cross multiply
    17,906.06x = 24,588.56 × 24,588.56
  4. Step 4: Simplify right side
    17,906.06x = 604,597,405.82
  5. Step 5: Solve for x
    x = 604,597,405.82/17,906.06
  6. Step 6: Final answer
    x = 33,764.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.