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Finding the Third Proportional to 13,414 and 20,253

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Solution

The third proportional to 13,414 and 20,253 is: 30,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414 : 20,253 = 20,253 : x
  2. Step 2: Convert to fraction form
    13,414/20,253 = 20,253/x
  3. Step 3: Cross multiply
    13,414x = 20,253 × 20,253
  4. Step 4: Simplify right side
    13,414x = 410,184,009
  5. Step 5: Solve for x
    x = 410,184,009/13,414
  6. Step 6: Final answer
    x = 30,578.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.