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Finding the Third Proportional to 13,114 and 20,302

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Solution

The third proportional to 13,114 and 20,302 is: 31,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114 : 20,302 = 20,302 : x
  2. Step 2: Convert to fraction form
    13,114/20,302 = 20,302/x
  3. Step 3: Cross multiply
    13,114x = 20,302 × 20,302
  4. Step 4: Simplify right side
    13,114x = 412,171,204
  5. Step 5: Solve for x
    x = 412,171,204/13,114
  6. Step 6: Final answer
    x = 31,429.86

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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.