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Finding the Third Proportional to 13,002 and 19,989.25

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Solution

The third proportional to 13,002 and 19,989.25 is: 30,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002 : 19,989.25 = 19,989.25 : x
  2. Step 2: Convert to fraction form
    13,002/19,989.25 = 19,989.25/x
  3. Step 3: Cross multiply
    13,002x = 19,989.25 × 19,989.25
  4. Step 4: Simplify right side
    13,002x = 399,570,115.56
  5. Step 5: Solve for x
    x = 399,570,115.56/13,002
  6. Step 6: Final answer
    x = 30,731.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.