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Finding the Third Proportional to 13,373 and 20,059

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Solution

The third proportional to 13,373 and 20,059 is: 30,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,373 : 20,059 = 20,059 : x
  2. Step 2: Convert to fraction form
    13,373/20,059 = 20,059/x
  3. Step 3: Cross multiply
    13,373x = 20,059 × 20,059
  4. Step 4: Simplify right side
    13,373x = 402,363,481
  5. Step 5: Solve for x
    x = 402,363,481/13,373
  6. Step 6: Final answer
    x = 30,087.75

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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.