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Finding the Third Proportional to 17,383.50 and 37,538.44

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Solution

The third proportional to 17,383.50 and 37,538.44 is: 81,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383.50 : 37,538.44 = 37,538.44 : x
  2. Step 2: Convert to fraction form
    17,383.50/37,538.44 = 37,538.44/x
  3. Step 3: Cross multiply
    17,383.50x = 37,538.44 × 37,538.44
  4. Step 4: Simplify right side
    17,383.50x = 1,409,134,289.94
  5. Step 5: Solve for x
    x = 1,409,134,289.94/17,383.50
  6. Step 6: Final answer
    x = 81,061.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.