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Finding the Third Proportional to 13,921.75 and 20,114.50

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Solution

The third proportional to 13,921.75 and 20,114.50 is: 29,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921.75 : 20,114.50 = 20,114.50 : x
  2. Step 2: Convert to fraction form
    13,921.75/20,114.50 = 20,114.50/x
  3. Step 3: Cross multiply
    13,921.75x = 20,114.50 × 20,114.50
  4. Step 4: Simplify right side
    13,921.75x = 404,593,110.25
  5. Step 5: Solve for x
    x = 404,593,110.25/13,921.75
  6. Step 6: Final answer
    x = 29,061.94

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.