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Finding the Third Proportional to 13,871.25 and 21,500.44

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Solution

The third proportional to 13,871.25 and 21,500.44 is: 33,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.25 : 21,500.44 = 21,500.44 : x
  2. Step 2: Convert to fraction form
    13,871.25/21,500.44 = 21,500.44/x
  3. Step 3: Cross multiply
    13,871.25x = 21,500.44 × 21,500.44
  4. Step 4: Simplify right side
    13,871.25x = 462,268,812.69
  5. Step 5: Solve for x
    x = 462,268,812.69/13,871.25
  6. Step 6: Final answer
    x = 33,325.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.