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Finding the Third Proportional to 12,938 and 20,041

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Solution

The third proportional to 12,938 and 20,041 is: 31,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938 : 20,041 = 20,041 : x
  2. Step 2: Convert to fraction form
    12,938/20,041 = 20,041/x
  3. Step 3: Cross multiply
    12,938x = 20,041 × 20,041
  4. Step 4: Simplify right side
    12,938x = 401,641,681
  5. Step 5: Solve for x
    x = 401,641,681/12,938
  6. Step 6: Final answer
    x = 31,043.57

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Why These Related Problems?

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