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Finding the Third Proportional to 14,791.25 and 22,193.75

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Solution

The third proportional to 14,791.25 and 22,193.75 is: 33,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,791.25 : 22,193.75 = 22,193.75 : x
  2. Step 2: Convert to fraction form
    14,791.25/22,193.75 = 22,193.75/x
  3. Step 3: Cross multiply
    14,791.25x = 22,193.75 × 22,193.75
  4. Step 4: Simplify right side
    14,791.25x = 492,562,539.06
  5. Step 5: Solve for x
    x = 492,562,539.06/14,791.25
  6. Step 6: Final answer
    x = 33,300.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.