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Finding the Third Proportional to 13,513 and 20,214

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Solution

The third proportional to 13,513 and 20,214 is: 30,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513 : 20,214 = 20,214 : x
  2. Step 2: Convert to fraction form
    13,513/20,214 = 20,214/x
  3. Step 3: Cross multiply
    13,513x = 20,214 × 20,214
  4. Step 4: Simplify right side
    13,513x = 408,605,796
  5. Step 5: Solve for x
    x = 408,605,796/13,513
  6. Step 6: Final answer
    x = 30,237.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.