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Finding the Third Proportional to 17,905.22 and 37,944.84

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Solution

The third proportional to 17,905.22 and 37,944.84 is: 80,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,905.22 : 37,944.84 = 37,944.84 : x
  2. Step 2: Convert to fraction form
    17,905.22/37,944.84 = 37,944.84/x
  3. Step 3: Cross multiply
    17,905.22x = 37,944.84 × 37,944.84
  4. Step 4: Simplify right side
    17,905.22x = 1,439,811,167.21
  5. Step 5: Solve for x
    x = 1,439,811,167.21/17,905.22
  6. Step 6: Final answer
    x = 80,412.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.