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Finding the Third Proportional to 17,735.20 and 38,238.33

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Solution

The third proportional to 17,735.20 and 38,238.33 is: 82,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.20 : 38,238.33 = 38,238.33 : x
  2. Step 2: Convert to fraction form
    17,735.20/38,238.33 = 38,238.33/x
  3. Step 3: Cross multiply
    17,735.20x = 38,238.33 × 38,238.33
  4. Step 4: Simplify right side
    17,735.20x = 1,462,169,737.80
  5. Step 5: Solve for x
    x = 1,462,169,737.80/17,735.20
  6. Step 6: Final answer
    x = 82,444.49

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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.