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Finding the Third Proportional to 17,928 and 39,136.50

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Solution

The third proportional to 17,928 and 39,136.50 is: 85,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,928 : 39,136.50 = 39,136.50 : x
  2. Step 2: Convert to fraction form
    17,928/39,136.50 = 39,136.50/x
  3. Step 3: Cross multiply
    17,928x = 39,136.50 × 39,136.50
  4. Step 4: Simplify right side
    17,928x = 1,531,665,632.25
  5. Step 5: Solve for x
    x = 1,531,665,632.25/17,928
  6. Step 6: Final answer
    x = 85,434.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.