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Finding the Third Proportional to 11,928.75 and 20,968.50

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Solution

The third proportional to 11,928.75 and 20,968.50 is: 36,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.75 : 20,968.50 = 20,968.50 : x
  2. Step 2: Convert to fraction form
    11,928.75/20,968.50 = 20,968.50/x
  3. Step 3: Cross multiply
    11,928.75x = 20,968.50 × 20,968.50
  4. Step 4: Simplify right side
    11,928.75x = 439,677,992.25
  5. Step 5: Solve for x
    x = 439,677,992.25/11,928.75
  6. Step 6: Final answer
    x = 36,858.68

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.