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Finding the Third Proportional to 13,885 and 20,251.50

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Solution

The third proportional to 13,885 and 20,251.50 is: 29,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885 : 20,251.50 = 20,251.50 : x
  2. Step 2: Convert to fraction form
    13,885/20,251.50 = 20,251.50/x
  3. Step 3: Cross multiply
    13,885x = 20,251.50 × 20,251.50
  4. Step 4: Simplify right side
    13,885x = 410,123,252.25
  5. Step 5: Solve for x
    x = 410,123,252.25/13,885
  6. Step 6: Final answer
    x = 29,537.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.